The volume of a cylinder is given by the formula y = rrah, where r is the radius of the cylinder and h is the height.
Which expression represents the volume of this cylinder?
n = 2x + 7
0 0
0 24x3 – 12xx2 - 24 xX+63%
O 28x3 - 5 xX2 – 24 xX+63x
O 28x3 + 7 xx? - 18xx-63

Answers

Answer 1
The third one is the correct answer I think
Answer 2

The volume of the cylinder with radius r = x - 3 and height h = 2x + 7 is given by the expression V = π ( 2x³ - 5x² - 24x + 63 )

What is a Cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the radius of the cylinder r = ( x - 3 ) units

Let the height of the cylinder be h = ( 2x + 7 ) units

And , Volume of Cylinder = πr²h

On simplifying the equation , we get

Volume of Cylinder = π ( x - 3 )² ( 2x + 7 )

Volume of Cylinder = π ( x² - 6x + 9 ) ( 2x + 7 )

On further simplification , we get

Volume of Cylinder = π ( 2x³ - 5x² - 24x + 63 )

Hence , the expression for the cylinder is V = π ( 2x³ - 5x² - 24x + 63 )

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Related Questions

In February, you have a balance of $135 in your bank account. Each month you deposit $45. Write an equation to describe the situation.

Answers

Answer:

135+45x

Step-by-step explanation:

6666666666666666666666666666666

A child needs to take 1/2 tablespoons of medicine per day in 4 equal doses. How much medicine is in each dose?
PLEASE HELP​

Answers

Answer:

1/8 tablespoons

Step-by-step explanation:

Since the child needs to take 1/2 tablespoons off medicine per day in 4 equal doses, you will divide the 1/2 tablespoons into 4 equal doses, so you need to divide by 4.

You can do this by multiplying 1/2 by 1/4.

[tex]\frac{1}{2} * \frac{1}{4} = \frac{1}{8}[/tex]

Answer:

it would be 1/8

Step-by-step explantion:

simply divide

1/2÷4

=1/8

(that should be right)

What is the answer to this????

Answers

Answer:8

Step-by-step explanation:

Answer:

8 rows of art

Step-by-step explanation:

The variables x and y are related proportionally. When x =6, y = 10. Find y when x = 57.
When X = 57, y =

Answers

x=6 y=10
x=57 y=10
57/6=9.5
10*9.5 =95
y=95


[tex]( - \frac{3}{5} )( - \frac{10}{3} )( - \frac{2}{9} ) = [/tex]
I need help please​

Answers

[tex](-\frac{3}{5})(-\frac{10}{3})(-\frac{2}{9}) = (\frac{30}{15})(-\frac{2}{9}) = 2(-\frac{2}{9}) = -\frac{4}{9}[/tex]

What is the best first step to solve the inequality 5x – 3 ≥ 2?

Answers

Do the Math is Easy man!!!

Answer:

add 3

Step-by-step explanation:

trust me

which is more , 1 gallon or 7 pints ,

a. 1 gallon
b. 7 pints
c. nethier ; they are equal

Answers

Answer:A

Step-by-step explanation: 1 Gallon is equal to 8 pints.

Answer:

A

Step-by-step explanation:

pint=1/8 of a gallon

therfor 7 pints = 7/8

7/8<1gal

what place does the three sit at in 43,628,698,591

Answers

Answer:

Billion

Step-by-step explanation:

In 43,628,698,591 the three is in the Trillion spot.

One, Ten, Hundred, Thousand, Ten Thousand, Hundred Thousand, Million, Ten Million, Hundred Million, Billion.

There are 9 #’s after the 3 which means it is billions :)

Pleasee help! I don’t know the answers. I’m struggling

Answers

Answer:

1. Total amount of the five checks is $132.95.

2. She owed $16.47 before tax.

3. quizzes- 53 pts

   projects-129 pts

   tests-272 pts

   for grading period-454 pts

4. Tim-399

   Jane-401

   Felipe-412

   Chen-419

   team-1,631

Can i get brainliest please?

The quadrilateral shown is a rhombus. What is m∠4?

A) 28°
B) 32°
C) 58°
D) 90°

Answers

I think it would be 28

In a rhombus, both pairs of opposite angles are congruent

so m<4=32 degrees

so your answer is 32 DEGREES

The circumference of a circle can be found by multiplying Pi by the diameter True False

Answers

Answer:

True

Step-by-step explanation:

You can find the circumference by multiplying Pi and the diameter.

Answer:

True. And if you only know the radius, multiply the radius by two to get the diameter.

write an equation for g(x) given the following transformations, translation right 3, vertical shift up 5, vertical compression/shrink 1/4.

Answers

у вас всё правильно вы молодцы

EASY 10 POINTS QUESTION 7 PLEASEEEEEEE

Answers

Answer:

x=9

Step-by-step explanation:

-2x+9=-4x+27

first you want to get the -4x on the other side of the equal sign you do that by -4- -4 which will cancel them out and you do -2 - -4 = 2x

now you have 2x+9=27 now you do 9-9 which will cancel them out and you do 27 - 9 = 18

Now you have 2x=18 then you want to divide 2 by 2x which will cancel out the 2 and you want to divide 2 by 18 which equals 9 so you answer is x=9

hope this helps

4x - 10 = p+ 3x - 2x what is the value of x

Answers

Answer: if you need more let me know

PLEASE HELP!! i will mark brainliest!!

Answers

Its the distance formula so it would be square root of [(15+3)^2+(-7-17)^2]=30

Suppose Sine (x) = negative three-fifths and cos(x) < 0. What the value of cos(2x)?

Answers

Answer:

[tex]-\frac{7}{25}[/tex]

Step-by-step explanation:

Value of given trigonometric ratio is equals to  [tex]cos (2x) = \frac{7}{25}[/tex].

What is trigonometric ratio?

" Trigonometric ratio is defined as in the right triangle the ratio which represents the relation between sides of a triangle with acute angle of a triangle."

Identity used

[tex]sin^{2} x +cos^{2} x =1\\ \\cos (2x) = cos^{2} x - sin^{2} x[/tex]

According to the question,

Given value of trigonometric ratio,

[tex]sin x = \frac{-3}{5} \\\\cosx < 0[/tex]

Substitute the value of [tex]sin x[/tex] in the above identity of trigonometric ratio,

[tex](\frac{-3}{5} )^{2} + cos^{2} x=1\\\\\implies cos^{2}x = 1- \frac{9}{25}\\ \\\implies cos x = \sqrt{\frac{16}{25} } \\\\\implies cos x = \frac{-4}{5} , cos x < 0[/tex]

Substitute the value of [tex]sin x[/tex] and [tex]cos x[/tex]  the trigonometric identity ,

[tex]cos (2x) =( \frac{-4}{5})^{2} - ( \frac{-3}{5})^{2}\\\\\implies cos (2x) = \frac{16}{25}- \frac{9}{25} \\\\\implies cos (2x) = \frac{7}{25}[/tex]

Hence ,  value of given trigonometric ratio is equals to  [tex]cos (2x) = \frac{7}{25}[/tex].

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You buy a 36-ounce can of tomatoes. How many pints is that?

Answers

Answer:

If you buy a 36-ounce can of tomatoes the number of pints will be 2.24

Step-by-step explanation:

1 Fluid Ounces = 0.062 Pints

Find he percent of change from 1250 to 1,755mi

Answers

28.7749% increase because

1250/1755 = .7122
.7122 *100 = 71.22%
100 - 71.22 = 28.7749

expresa en lenguaje algebraico lo siguiente​

Answers

Answer:

i dont speek Spanish sorry

Bob's Gift Shop sold 250 cards for Mother's Day. One salesman, Kylie, sold 2% of the cards sold for Mother's Day. How many cards did Kylie sell?

Answers

Kyle sold five cards in total.

Find the distance between the two points rounding to the nearest tenth (if necessary). (8,-9) and (2,-7)

Answers

Answer: 6.32 units

Step-by-step explanation: You count the distance and get 6.32 units.

54 equals 9 more than a number $t$ .

Answers

Answer:54 = t + 9

Step-by-step explanation:

The expression is 54= t+9

For the function, f(x) = x - 2, find x if f(x) = -1.

Answers

f(x)=x-2=-1
-1=x-2
+2 +2
-1=x

Help me please !!!!!!!!!!!!!!

Answers

Answer:

-8

Step-by-step explanation:

All the other numbers like z=-3 and w=4 is all to trick you they aren't used. They put them there because it makes it harder to focus on one number and it throws you off. It's just doing the math by replacing the "x" with -1 and boom you have your answer!

Hope This Helps!!! Have a great day!!!

<3<3

Help! WILL MARK BRAINLIEST!! Explanation?

Answers

use desmos to find the answer it really helps :)

Tony wants to build a fence around his rectangular garden that has
dimensions 20 ft by 35 ft. His fence posts need to be placed 5 ft apart.
How many posts will Tony need to buy?
posts

Answers

Answer:

22

Step-by-step explanation:

The side of the rectangle that is 20 feet divide it by 5

[tex]\dfrac{20}{5}=4[/tex]

Now we add one to this as the fence post each required in each 5 feet section.

The same is the case for the opposite side.

So, the number of fence posts for the 20 feet sides is [tex]5+5=10[/tex]

Now for the 35 feet side

[tex]\dfrac{35}{5}=7[/tex]

Remove 1 fence post from the ends as that fence post will be covered by the ones on the 20 feet side.

So, new posts on the 35 ft side is 6.

So, the number of fence posts for the 20 feet sides is [tex]6+6=12[/tex]

Total number of posts is [tex]10+12=22[/tex]

Please help me answer this question 17

Answers

Answer:

∠AEC = 139°

Step-by-step explanation:

EC bisects ∠BED. This means that the line EC cuts the angle in half, so        ∠BEC = 4x + 1

If Kiran solves the equation for p, which equation would result?

Answers

Answer:  i have a answer but it is not up there srry

Step-by-step explanation:  

You are tasked with helping plan a school dance. You expect 110 people to attend the dance and need to provide seating for each person. The tables come in two different sizes. The smaller tables can fit 2 people, the larger tables can seat 4 people. Write an equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.

Answers

Answer:

2x + 4y = 110

Step-by-step explanation:

Let

The quantity of small tables = x

The quantity of large tables = y

The smaller tables can fit 2 people, the larger tables can seat 4 people.

Equation that describes the relationship between the quantity of small tables and the quantity of large tables, assuming exactly 110 people need seats.

Number of people×quantity (small table) + number of people×quantity (large table) = 110

2x + 4y = 110

1)
What number is 4 times as many as 25?

Answers

Answer:

100

Step-by-step explanation:

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