Question

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

Answer 1

The radius of the cylinder is 3 inches.

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)` =
`(54\pi )/(6\pi )`

= 9

r =
`√(9)`

r = 3

The radius of the cylinder is 3 inches.