Question

The volume of a cylinder is 54π cubic inches and the height is 6 inches. Find the radius.

Answer 1

Answer:

The radius of the cylinder is 3 inches.

Step-by-step explanation:

For any given cylinder, the volume can be expressed as:

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

where r is the radius of its circular surface, and h is its height.

Given that: volume = 54π cubic inches, and the height = 6 inches.

then,

54$\pi$ = $\pi$ x $r^{2}$ x 6

54$\pi$  = 6$\pi$$r^{2}$

$r^{2}$ = $\frac{54\pi }{6\pi }$

   = 9

r = $\sqrt{9}$

r = 3

The radius of the cylinder is 3 inches.