find the surface area of each figure (spheres and hemispheres)

Find The Surface Area Of Each Figure (spheres And Hemispheres)

Answers

Answer 1

Answer:

7. 1520.53 cm²

8. 232.35 ft²

9. 706.86 m²

10. 4,156.32 mm²

11. 780.46 m²

12. 1,847.25 mi²

Step-by-step explanation:

Recall:

Surface area of sphere = 4πr²

Surface area of hemisphere = 2πr² + πr²

7. r = 11 cm

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)

8. r = ½(8.6) = 4.3 ft

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)

9. r = ½(15) = 7.5 m

Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)

10. r = ½(42) = 21 mm

Plug in the value into the formula

Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44

= 4,156.32 mm²

11. r = 9.1 m

Plug in the value into the formula

Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15

= 780.46 m²

12. r = 14 mi

Plug in the value into the formula

Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75

= 1,847.25 mi²


Related Questions

Find the 14th term of the arithmetic sequence x-4, 7x-9, 13x-14, ...

Answers

Answer:

14x-9

Step-by-step explanation:

Use the figure to answer the question. 8 8 What is the area of the shaded region of the circle in terms of a? Enter the answer in the box. The area of the shaded region is f units squared.​

Answers

Answer:

48pi

Step-by-step explanation:

pi x 8² - pi x 4²

64pi - 16pi

48pi

if f (x)=x^2+1 and g(x) =x-4 which value is equivalent to f x g

Answers

Answer:

A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]

Step-by-step explanation:

We are given the following functions:

[tex]f(x) = x^2 + 1[/tex]

[tex]g(x) = x - 4[/tex]

Which value is equivalent to f x g?

We multiply these functions, applying the distributive property. So

[tex]f \times g = (x^2+1)(x-4) = x^3 - 4x^2 + x - 4[/tex]

A value of [tex]x^3 - 4x^2 + x - 4[/tex] is equivalent to [tex]f \times g[/tex]

Over what interval(s) is the function decreasing?
A)
-∞ < x < ∞
B)
- ∞ < x < 5
C)
5 D)
never

Answers

Answer:

A and B

Step-by-step explanation:

C isnt an interval and the function is always decreasing

In the figure below, j || n. Find the values of y and x.

Answers

So (3x+14)° and 70° are supplementary angles based on the picture and the given facts. This means added together they will equal 180
(3x+14)+70=180
3x+14=110
3x=96
x=32
You can then use (3x+14) to find y since they are corresponding. Above we found (3x+14)=110 and since y=(3x+14) then y=110

whats 6 divided by 10?

Answers

Answer:

1 r 4

Step-by-step explanation:

 0 1

6 1 0

− 0  

 1 0

−   6

   4

Which of the following measures cannot be determined from a box plot?
select all that apply.
A. Interquartile range
B. Mean
C. Mean absolute deviation
D. Median
E. Mode
F.Range​

Answers

3 Answers:B) MeanC) Mean absolute deviationE) Mode

==========================================================  

Explanation:

The box plot, aka "box-and-whisker plot", visually represents five things. These things are:

MinimumQ1 = first quartileMedian (sometimes referred to as Q2 or second quartile)Q3 = third quartileMaximum

This list of five items is known as the five number summary.

The min is the tip of the left most whisker, assuming there aren't any small outliers. The max is the opposite side, being the tip of the right most whisker (assuming no large outliers). If there are any outliers, then they'll be shown as "island" dots on their own separated from the main box plot. The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint of the left and right edges of the box. It simply needs to be somewhere in the box.

--------

Since the box plot lets us know the min and max, we can compute the range because

range = max - min

and we can also calculate the interquartile range (IQR) because

IQR = Q3 - Q1

--------

So to summarize so far, the five number summary is visually represented as the box plot. The range and IQR can be computed using items from the five number summary.

We cannot compute the mean because we would need the actual data set of values, rather than the summary data. The same goes for the mean absolute deviation (MAD) and the mode. Since your teacher is looking for things that cannot be determined from a box plot, we'll go for answers B, C and E.

In other words, we rule out choices A, D, and F because we can compute or determine those values from a box plot.

3x + 5y = 7;( -1 , 2) write an eqautian thats perpidicaluar to the given line that passes through the given point

Answers

Answer:

5x -3y + 11 = 0 .

Step-by-step explanation:

Firstly let's find the slope of the line by converting the equation into slope intercept form as ,

=> 3x +5y = 7

=> 5y = 7 - 3x

=> y = (7-3x)/5

=> y = -3/5x + 7/5

On comparing this equation to the slope intercept form y = mx + c ,

=> m = -⅗

Now the slope of the line perpendicular to this line will be , say m'

=> m' =- 1/m

=> m' = -1/-⅗

=> m = 5/3

Now the line passes through (-1,2 ) . so on using point slope form , we get ,

=> ( x - x1) m = ( y - y1)

=> ( x - (-1)) × 5/3 = y - 2

=> ( x +1)×5 = 3( y -2)

=> 5x + 5 = 3y -6

=> 5x - 3y +5 +6=0

=> 5x -3y +11 = 0

Hence the equation of line perpendicular to the given line is 5x -3y + 11 = 0 .


4. Your best friend's birthday is tomorrow, and you would like to give her an ice cream cone
balloon. The spherical shaped ice cream on top of the cone has a radius of 6 inches. The cone
itself has a diameter of 12 inches and height of 24 inches. How many cubic inches of helium are
nded to fill the entire ice cream cone balloon? Use 3.14 for it.

Answers

Answer:

1808.64 IN^3

Step-by-step explanation:

Helium needed = volume of spherical shaped ice cream + volume of cone

Volume of a sphere = 4/3 x pi x r^3

4/3 x 3.14 x 6^3 = 904.32 ft^3

Volume of a cone 1/3 x (nr^2h)

n = 22/7

r = radius  = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

h = height

1/3 x 3.14 x 6^2 x 24 = 904.32

helium needed = 2 x 904.32 = 1808.64 in^3

A right triangle has a leg of length 6 and a hypotenuse of length 21 yards. Find the length of the other leg (nearest tenth).​

Answers

Answer:

20.1

Step-by-step explanation:

a^2+b^2=c^2

6^2+b^2=21^2

36+b^2=441

b^2=441-36

b^2=405

sqrt of b =20.12

Aaron's bedroom is in the shape of a rectangular prism. The bedroom measures 10 feet by 14 feet by 8 feet. How many cubic feet of space does the room contain?

Answers

The formula for the area of a rectangular room is width x length, as shown in the figure below: This is the equation used in our square footage calculator as well.

Sylvia bought 8 bags of stickers. Each bag costs $2.79 how much did Sylvia spend

Answers

Answer:

Sylvia's total cost=$2.79*8

=$22.32

Step-by-step explanation:

14. A company uses many different delivery
services. The probability that any given parcel
will be sent by the ABC Speedy Delivery Service
is 0.71. The probability that the parcel will arrive
on time given the ABC Speedy Delivery
Company was used is 0.93. If a parcel is
randomly selected, find the probability that it will
be sent with the ABC Speedy Delivery Company
and arrive on time.

Answers

Answer:

0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Sent by ABC Speedy Delivery Service.

Event B: Arrived on time.

The probability that any given parcel will be sent by the ABC Speedy Delivery Service is 0.71.

This means that [tex]P(A) = 0.71[/tex]

The probability that the parcel will arrive on time given the ABC Speedy Delivery Company was used is 0.93.

This means that [tex]P(B|A) = 0.93[/tex]

Find the probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.

This is [tex]P(A \cap B)[/tex]. So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(B|A)*P(A) = 0.93*0.71 = 0.6603[/tex]

0.6603 = 66.03% probability that it will be sent with the ABC Speedy Delivery Company and arrive on time.

What is the median of this list of grades: 78,55,98,86,92,70,60 ?

Answers

Answer:

the median of this list is 78

The density of a solid bar is 25 pounds per cubic foot. If the bar has a volume of 5.2 cubic feet, what is the weight of the bar?

NO LINKS PLSSSS

Answers

Answer:

the weight of the bar is 130 pounds

Answer: realsies

Step-by-step explanation: w manz

I-Ready Surface area of composed figures what is the surface area of this design

Answers

Answer: 512

Step-by-step explanation:

Hello, I hope the answer is correct if not let me know and i will work step by step on it with you. Your welcome and Happy to help.

The surface area of the design is 384 inches².

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

The given design is a cube.

All the sides are of the length 8 inches.

The formula to find the surface area of a cube is,

Surface area = 6a², where "a" is the length of a side of the cube.

Given, a = 8 inches

Surface area of the design = 6 × 8²

                                             = 6 × 64

                                             = 384 inches²

Hence the given design has the surface area of 384 inches².

Learn more about Surface Area here :

https://brainly.com/question/29298005

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Maria has a jewelry box and wants to increase its size. She finds one with four times the length, width, and height. How many times bigger will the volume of the box be?

Answers

Answer:

64 times bigger

Step-by-step explanation:

I will use random values for this explanation to make it more understandable.

Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.

The volume would be l*w*h = 1*1*1 = 1 cubic inch

If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.

4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.

Hope this answer helped! :)

Find the zeros
[tex]x^3+8x^2-20x+48[/tex]

Answers

Answer:

Graph each side of the equation. The solution is the x-value of the point of intersection.

x≈−10.37392996

Step-by-step explanation:

An arc that measures 180 degrees is called a

Answers

An arc that measures 180 degrees is called a semicircle.

If it measures less than 180 it’s a minor arc.

If it measures greater than that it’s called a major arc

1
ir fx) =
x+ 2, what is f(3+h)
(3+h)
O A. (x + 2)
1
O B. 3+h
1
c. (x+2)(3+h)
1
D. h+ 5

Answers

The correct answer to your question is d

Michelle purchases several bottles of water. Before tax is added, the total cost is $3.60 and the cost of each bottle is $1.20. How many bottles did she buy?

Answers

Answer:

3 bottles

Step-by-step explanation:

1 bottle -- $1.20

x bottles -- 3.60 (total cost)

Therefore, number of bottles -- (3.60/1.20) = 3

She bought 3 bottles.

Thenks and maek me brainliest :))

                                       

In Buenos Aires, the average daily high temperature temperature in a year is reported to be 18.2^{\circ}\text{C}18.2 ∘ C18, point, 2, degrees, start text, C, end text. Catalina believes that last year was warmer than usual. In order to test her belief, she takes a simple random sample of 202020 days from last year, and records the daily high temperature on each chosen day. She finds that the sample mean temperature is 19.1^{\circ}\text{C}19.1 ∘ C19, point, 1, degrees, start text, C, end text and the sample standard deviation is 7.9^{\circ}\text{C}7.9 ∘ C7, point, 9, degrees, start text, C, end text. Catalina wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.

Answers

Answer:

H  0

​ :μ=18.2  ∘  C

H  a

 :μ>18.2  ∘  C

Step-by-step explanation:

Khan............... The null hypothesis has a statement of equality, and the direction of alternative hypothesis (>)(>)left parenthesis, is greater than, right parenthesis matches her belief that last year was warmer.

The three conditions for hypothesis testing are approximately met, and the null hypothesis is that the population mean daily high temperature in Buenos Aires is 18.2∘C.

What is hypothesis testing?

Hypothesis Testing is a type of statistical analysis in which you put your assumptions about a population parameter to the test. It is used to estimate the relationship between 2 statistical variables.

here, we have,

The three conditions for hypothesis testing are approximately met based on the information given.

Null hypothesis (H0) is that the population mean daily high temperature in Buenos Aires is 18.2∘C. Alternative hypothesis (Ha) is that the population mean daily high temperature in Buenos Aires is greater.

The test statistic is calculated as (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed test statistic, assuming the null hypothesis is true. It can be calculated using a t-distribution with degrees of freedom equal to the sample size minus one.

To learn more about hypothesis testing please click on below link.

brainly.com/question/29607047

#SPJ3

what is the volume of a rectangular prism with a length of 4 a width of 6 and a height of 2?​

Answers

Answer: Volume = 48

Step-by-step explanation:

V = L * W * H

V = 4 * 6 * 2

V = 48

HELP HELP HELP HELP PLEASE HELP ME

Answers

Answer: C is the answer bc it is asking what is more grader

Step-by-step explanation:

(sin30°+cos30°)(sin30°-cos30°)​

Answers

in decimal formation it is -0.5 and in fraction -1/2

(2.8•10^8)(1.9•10^4)

Answers

Answer: 5.32 × 10^12

Step-by-step explanation:

This is a question relating to indices. In indices, we add the power given for question relating to multiplication. Hence, this will be:

= (2.8•10^8)(1.9•10^4)

= (2.8 × 1.9) × 10^8+4

= 5.32 × 10^12

Therefore, the answer to the question will be 5.32 × 10^12.

What percent of 36 is 20?

Answers

Answer:

55.56%

Step-by-step explanation:

Answer:

55.56

Step-by-step explanation:


HELP HELP HELP HELP

What is the equation of the trend line in the scatter plot ?

Answers

Answer:

The equation for the trend line is y=2x-10

Find the length of side y.
y=_ft

Answers

Answer:

y= 18.582

⨝⨝⨝⨝⨝⨝⨝⨝⨝

1) I can find my volume if the volume of the cylinder is multiplied
by Who am 1?
b. Prism
a. Cone
d. Sphere
c. Pyramid
2) The volume is that of a cylinder that has the same base and
height with me. Who am I?
c. Prism
d. Pyramid
a. Cone
b. Cylinder
3) The volume of the pyramid is of the volume of what figure?
a. Cone
b. Cylinder
C. Prism
d. Pyramid
4) A rectangular prism has 10 cm length, 4 cm width and 5 cm
height. What is the length of the rectangular pyramid?
d. 20 cm
b. 5 cm
c. 10 cm
a. 4 cm
Additional Activities
Directions: Solve the following. Show your solution.
1. Diane has clay in a can. Its radius is 6 cm, while its height is 10
cm. She wanted to transfer some of her clay to her cone-
shaped container. What is the volume of the cone to be filled
and height with the can?​

Answers

You can find the volume of a sphere by multiplying the volume of a cylinder by 4/3: D. sphere.

How to calculate the volume of a sphere?

Mathematically, the volume of a sphere can be calculated by using this formula:

V = 4/3 × πr³

Where:

V is the volume of a sphere.r is the radius of a sphere.

Note: The volume of a cylinder is equal to πr² × r.

Thus, 4/3 × πr² × r = 4/3 × πr³ (Volume of a sphere).

How to calculate the volume of a cone?

Mathematically, the volume of a cone is calculated by using this formula:

V = 1/3 × πr²h

Note: The volume of a cylinder is equal to πr²h.

Therefore, 1/3 × πr²h (volume of a cone).

How to calculate the volume of a pyramid?

Mathematically, the volume of a pyramid is calculated by using this formula:

Volume = 1/3 × base area × height

Volume = 1/3 × πr²h.

In Geometry, the length of a rectangular prism and the height of a rectangle pyramid are the same. Thus, the length of this rectangular pyramid is equal to 10 cm.

How to calculate the volume of Diane's cone?

Mathematically, the volume of a cone is calculated by using this formula:

V = 1/3 × πr²h

V = 1/3 × 3.14 × 6² × 10

Volume, V = 376.8 cm³.

Read more on volume of a cone here: https://brainly.com/question/3029844

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A hospitality company is evaluating building a new hotel in Bloomington (capital project) that management forecasts will generate $45,000 each year over its six (6) year life. If the required rate of return given the project's identified risks is 12% (percent), and the project's up front costs are estimated at $165,000, should management go forward with the project?a. Management should approve the new hotel since the project's NPV is positive. b. Management should reject the new hotel project as the project's NPV is negative. c. Unable to determine given information. please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!! I really need this no links or report but mark brainliest i do answer correctly what is the estamate 1/4 of 16 Which of the following is lost to the environment as heat so that it cannot be continually recycled?Group of answer choicesoxygennitrogenphosphorousenergy Plant stems can be ______, ______, thick,______, or _________. Which of the following is NOT a signal word for cause or effect? *ThereforeSoAndBecause solve for x in the equation A resistor, inductor, and capacitor are in parallel in a circuit where the frequency of operation can vary. The R, L, and C values are such that at the frequency omega subscript 0, the magnitude of all the impedances are equal to each other. If the frequency of operation approaches zero, which element will dominate in determining the equivalent impedance of this parallel combination?a. The inductor. b. The capacitor. c. The resistor. d. Insufficient information provided. find the area and circumference of each figure below. use 3.14 for pi. if needed, round your answer's to the nearest 100ths place. What does the underlined word mean in the following sentence?Je suis arriv l'aroport en et j'ai rat l'avion.The plane took off.The plane was landing.I got on the plane.I missed the plane. Ben and Sam got into a heated argument at work. After being provoked, Ben pushed Sam, and proceeded to slap him several times. Which crime is Ben guilty of in the given scenario? A. manslaughter B. assault and batteryC. larceny D. treason E. conspiracy ____is watery clay used like glue to join clay pieces together. SlabBisqueLeather hard Slip what is the value of 3^3 + 7(2x -6), when x=4? A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from the base of the platform. How long is the zip line? help grifjin Read the sentence below and answer the question that follows.Each economic sector plays a vital role in a nation's economy.The word underlined in the sentence above is best defined asA decisionB. activityC. dollarD. part HELP ME HELP ME HELP KE HELP ME PLEASEEEEEE I NEED HELP PLZ PLZ PLZ At the time of Hitler's 1939 invasion of Poland, the US had a policy of Rewirte the sentence using direct object pronoun.Manuel lleva a Carlos y a m al aeropuerto. Adam borrowed $16,780 at 12.5 percent for 10 years. What is his monthly payment?A: $240.31B: $245.83C: $230.12D: $229.81