Question

A cylinder has a volume of 18π cubic inches. If the radius is 3 inches, what is the height of the cylinder in inches?

Answer 1

Height of cylinder is 2 inches.

Given:

• A cylinder has a volume of 18π cubic inches.
• If the radius is 3 inches.

To find:

• What is the height of the cylinder in inches?

Solution:

Formula to be used:

Volume of cylinder:$\bf \pi {r}^{2} h$

here, r: radius of cylinder and h: height

Step 1:

Put the given values.

As,

$\pi {r}^{2} h = 18\pi$

cancel π from both sides.

${r}^{2} h = 18$

or

$\bf h = \frac{18}{ {r}^{2} }$

Step 2:

Put the value of r.

As, r= 3 inches.

$h = \frac{18}{ {3}^{2} }$

or

$h = \frac{18}{9}$

or

$\bf \red{h = 2}$

Thus,

Height of cylinder is 2 inches.

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