Two similar cones have volume of 4 m and 108 m respectively. If the large one has surface area 54 m, find the surface area of the smaller one.​

Answers

Answer 1

 

[tex]\displaystyle\bf\\Explanations:\\\\The~similarity~ratio~of~two~similar~cones=k\\\\k=is~the~ratio~between~2~corresponding~lengths\\\\k=\frac{R_1}{R_2}=\frac{h_1}{h_2}\\\\The~ratio~between~2~corresponding~areas~of~similar~cones=k^2\\\\\frac{Area~1}{Area~2}=k^2\\\\The~ratio~between~the~volumes~of~the~2~similar~cones=k^3\\\\\frac{Volume~1}{Volume~2}=k^3[/tex]

.

[tex]\displaystyle\bf\\Solving:\\\\Volume1=108~m^3\\\\Volume2=4m^3\\\\k^3=\frac{108}{4}\\\\k^3=27~~\Big|\sqrt{~}\\\\k=\sqrt[\b3]{27}\\\\k=3\\\\Area1=54~m^2\\\\\frac{Area~1}{Area~2}=k^2\\\\\frac{54}{Area~2}=3^2\\\\\frac{54}{Area~2}=9\\\\Area2=\frac{54}{9}\\\\\boxed{\bf Area2=6 m^2}[/tex]

 


Related Questions

The lines below are parallel if the slope of the solid line is 4,what is the slope of the gas line?

Answers

Answer:

We conclude that the parallel lines are equal and the slope of the gas line is:

m₂ = 4

Step-by-step explanation:

We know that the lines are parallel if the slope of both lines is equal.

In other words,

If m₁ = m₂, then the lines will be parallel.

Now,

Given that the slope of the solid line = m₁ = 4

As the parallel lines have equal slopes.

Thus,

The slope of gas line = m₂ = 4

as  

m₁ = m₂

Therefore, we conclude that the parallel lines are equal and the slope of the gas line is:

m₂ = 4

what is 11010base2 - 1101base2

Answers

Answer:

###########################

Step-by-step explanation:

lkaooassss

Write your answer with no spaces and any fraction with “/“

Answers

Answer:

y=[tex]\frac{1}{2}x-2[/tex]

Step-by-step explanation:

Because of the slope, we would assume that it is 1/2 because when you use rise over run, the graph rises 1 unit up and shifts 2 units to the right.  The -2 is where the y-intercept is (0, -2) based on the picture seen above.  The slope is also positive where it is going up instead of going down.

Please help. Only if you know it.

Answers

Answer:

C (Lake Depth Answer)

Step-by-step explanation:

Here we want to find the math that ends up with 0.

The stock starts with 12$, but loses 16$.

That's -4$ total, not 0.

The ion starts with 19 protons, and 18 electrons. Protons are postive charges, electrons are negative.

This leaves us with 1 proton, not 0.

The lake depth increases by 6 inches, but evaporates 6.

This leaves us back where we started, with 0.

Ahmed spends 25$, but earns 30$.

This leaves us with $5, not 0.

A how air ballon roses 474 feet. It then descends 130 feet. Find the elevation of the ballon is it started at sea levels.

Answers

Answer:

344 feet

Step-by-step explanation:

474-130=344

PLEASE HURRY!!

(a) Billy bought seven cat toys. Each cat toy costs the same amount. He spent a total of $22.75

(a) Write an equation that represents the situation. Use c to represent the cost of each cat toy.


(b) Solve for c and justify your solution by checking your answer.

Answers

Multiple the number of toys bought by c to equal the total spent:

A) 7c = $22.75

B) divide the total spent by the quantity bought:

C = 22.75/7

C = 3.25

Each toy cost $3.75

Can someone help with this please?

Answers

Answer:

n=5 and it's output is -13

Step-by-step explanation:

By inspection, the inputs increase by +1 and the outputs decrease by 2

Thus ,n=4+1=5 and it's output is -11-2=-13

help me pleaseeeeee!!!!!

Answers

Answer:

61

Step-by-step explanation:

   3x + 28

   5x + 52

+   2x - 10    

  10x + 70 = 180º

      x = 11

3(11) + 28 = 61º

Write seven hundred twenty-one in standard form

Answers

Answer:

721

Step-by-step explanation:

dog you in elementary school

Please stat Brainlist who ever answers first OR! Who ever answers with a fluent explanation.

Answers

Answer:

Yes it is a proportional relationship

Step-by-step explanation:

You can see a clear pattern, every time time goes up by a minute earning go up by 6. There is no random numbers without pattern. So it’s proportional.

Answer:

Yes it is a proportional relationship.

Step-by-step explanation:

It is because You can see a clear pattern, every time time goes up by a minute earning go up by 6. There is no random numbers without pattern. So it’s proportional.

solve for X enter your answer in the Box ​

Answers

Answer:

x = 10

Step-by-step explanation:

Since the angles are equal I believe you can just set the ratios equal, cross multiply and solve

Which is an equation of the line that passes
through the points (1.3) and (-1, 1)?
A. X= 1
B. y = 2x + 1
C. y=x+2
D. y = 3

Answers

Answer:

c) y=x+2

Step-by-step explanation:

find slope and y-intercept then write in y=mx+b form and see which one matches

Mr. Ward invests $45,000 in a bank at the beginning of the year. He will receive an interest rate of 8% per year. How much interest will Mr. Ward receive in 1/2 of a year

Answers

Answer:

If the investment she is considering will pay 8.25 percent compounded monthly, ... Value: Herbert Hall just received an inheritance of $35,775 from his great aunt. He ... If Herbert can earn 4.75% per year with quarterly compounding for 32 years, how ... You identify a bank CD that pays an interest rate of 4.25 percent.

Step-by-step explanation:

Whats 1+1
window
11
2

Answers

Answer:

2

Step-by-step explanation:

If you have one apple and your friend has one apple, then the total number of apples shared between you and your friend is two.

Answer: just saw the video.

Step-by-step explanation:

Help me with math question please, will give 20 points

Answers

in step 2 he made his first mistake

1/2(n-4)-3=3-(2n+3)

1/2n-4/2-3=3-(2n+3)

1/2n-2-3=3-(2n+3)

in the second step he put 5 instead of 2.

The discount price of a book is 20% less than the
retail price. James manages to purchase the book
at 30% off the discount price at a special book
sale. What percent of the retail price did James
pay?
A) 42%
B) 48%
C) 50%
D) 56%

Answers

Answer:

Step-by-step explanation:

Let retail be $100

At 20% discount

(100-20)% * 100

0.8*100

$80

At 30% discount

(100-30)%* 80

$56

Using the percentage relationship between cost, the book was purchased at 56% of the retail price.

Let :

Retail price = r

Discount price = 0.8r

Special sale price :

30% off discount price

(1 - 0.30) × 0.8r

0.70 × 0.80r = 0.56r

Hence, the book was purchased at 56% of the retail price.

Learn more : https://brainly.com/question/25581049

3/4 + 1/12 helppppppppppppppp

Answers

Answer:

The answer is 5/6.

Step-by-step explanation:

Round 4,368 to the nearest ten

Answers

Answer:

4,370

Step-by-step explanation:

If you are looking for the nearest ten in 4,368, you round up the number 8. Eight is greater than five and not less than four, therefore, the answer is 4,370. Good Luck on whatever assignment you're doing!

Answer:
4370

Explanation:
5 or more you round to the next number. In this case 8 is above 5 so you round to the next number of 68 which is 70

find the differential coefficient of y=5×​

Answers

[tex]\huge\mathbb\purple{AnSwEr}[/tex]

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Hey mate 5 is your Answer

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According to the line of best fit, at what time will the temperature reach 100°C, the boiling point of water?

A 5
B 5.5
C 6
D 6.5

Answers

Answer:

It is also not B.

Step-by-step explanation:

I think that it might be D then.

50% chance lol

what is the missing number in the solution to 948 = 10 below

Answers

Answer:

I can't see anything below-so thx for the free points ig

Step-by-step explanation:

Why is it a good idea to check to see if your answer is reasonable?

a. if your answer is reasonable, you have
b. if you understand the problem, you will not need to check your answer.
c. you just need to solve for the varible
d. to get the correct answer, you will need to need to check your answer draw a picture

Please select the best answer from the choices provided.​

Answers

Answer:

D number option is the correct answer

Answer:

A. if your answer is reasonable, you have probably done the problem correctly

Step-by-step explanation:

find the value of x so that the function has the given value. n(x) = 2x + 7 ; n(x)= 17

Answers

Answer:

n(x)= 5

Step-by-step explanation:

2x+7 = 17

2x = 17-7

2x = 10

x = 5

Your family’s meal at a restaurant costs $42.00. If you leave a tip of 20%, what will be the total cost?

Answers

Answer:

[tex]\$50.4[/tex]

Step-by-step explanation:

[tex]As\ we\ given,\\Actual\ cost\ for\ the\ family\ meal= \$ 42\\Additional\ cost\ percent\ to\ the\ meal\ as\ the\ tip=20 \%\\We\ know\ that,\\Additional\ Cost\ for\ the\ tip= Cost\ percent\ of\ the\ tip* Actual\ price\\ of\ the\ meal\\Hence\ by\ substituting\ the\ values,\\Additional\ Cost\ for\ the\ tip=20 \%*42\\Additional\ Cost\ for\ the\ tip=\frac{20}{100} *42\\Additional\ Cost\ for\ the\ tip=\frac{1}{5}*42\\Additional\ Cost\ for\ the\ tip=\$ 8.4\\[/tex]

[tex]Hence,\\Total\ Cost\ of\ the\ dine=Additional\ Cost\ for\ the\ tip+Actual\ Cost\ of\\ the\ meal\\Hence,\\Total\ Cost\ of\ the\ dine=42+8.4=\$50.4[/tex]

What is the common difference between successive terms in the sequence?

0.36, 0.26, 0.16, 0.06, –0.04, –0.14, ...

A.)–0.1
B.)–0.01
C.)0.01
D.)0.1

Answers

Answer:

-0.1

any more help just ask :)

Answer:

up

Step-by-step explanation:

A. -1 I hope I helped ...........

Which statement regarding triangle EFG are true? Select three options

Answers

Answer:

It is the first three options. A,B,C or 1,2,3

Step-by-step explanation:

Write a number that when rounded to the nearest TENTHS is 382.9

Answers

Answer:

380

Step-by-step explanation:

If its a number 4-1 than it stays in the same tenths place if it a number 5- and up than it goes to a new number.

Find the perimeter of the polygon if angle B is congruent to angle D.

Answers

Answer:

32

Step-by-step explanation:

The sides of the quadrilateral are tangents to the circle.

Tangents drawn from an external point to the circle are congruent

5+5+4+4+3+3+4+4=32

Answer:

32

Step-by-step explanation:

i did it and got it right

A right triangle has an area of 36 square units.
If you draw scaled copies of this triangle using the scale factors in the table, what will the areas of these scaled copies be?

Answers

Can somebody help??? A right triangle has an area of 36 square units.
If you draw scaled copies of this triangle using the scale factors in the table, what will the areas of these scaled copies be?

Answer:

the answer is 4

40x + 100≈/10
sorry if that equation is misunderstood...its a fraction

Answers

Answer:

now me good boy

x=4

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