Question

The volume of a cone is 24π cubic centimeters. Its radius is 3 centimeters. Find the height.

Answer 1

h = 8 cm

Explanation:

To find the height when volume of cone is given:

r = 3 cm

Volume = 24π cubic centimeters

`\boxed{\text{\bf Volume of cone= $ \bf (1)/(3)\pi r^2h$}}`

`\sf (1)/(3)\pi r^2h = 24\pi \\\\\\(1)/(3)*\pi * 3 * 3 * h = 24\pi`

π * 3 * h = 24π

`\sf h =(24\pi )/(3\pi )\\\\\\ h =8 \ cm`