Question

The volume of a cylinder is 288
`\pi`cubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder?

Recall the formula V=
`v=\pi \ {2} h`
a.9 inches
b.12 inches
c.18 inches
d.36 inches

Answer 1

The correct answer is option c 18 inches

Explanation:

Points to remember

Volume of cylinder = πr²h

Where r - Radius of cylinder and

h - Height of cylinder

To find the height of cylinder

Here volume = 288π cubic inches and radius = 4 inches

Volume = πr²h

288π = π* 4² * h

288 = 16h

h = 288/16 = 18 inches

Therefore height of cylinder = 18 inches

The correct answer is option c 18 inches

Answer 2

Hello!

The answer is:

The correct option is:

C. 18 inches.

Why?

To calculate the volume of a cylinder we need to use the formula:

`Volume=\pi *radius^(2)*height`

We are given a cylinder that has a volume of 288 π cubic inches and we know that its radius is equal to 4 inches, so, to calculate the height of the cylinder, we need to isolate it from the equation of volume, so, isolating we have:

`Volume=\pi radius^(2) height`

`(Volume)/(\pi radius^(2) )=height`

Now, substituting the given information, we have:

`height=(288\pi in^(3))/(\pi (4in)^(2) )=(288\pi in^(3))/(16\pi in^(2) )=18in`

Hence, we have that the correct answer is:

C. 18 inches.

Have a nice day!