The volume of a cone is 16 pi cubic inches. Its height is 12 inches. What is the radius of the cone? 2 in. 4 in. 12 in. 16 in.

Question

asked May 6, 2021 167k views

2 Answers

Bikuser · Answer 1 · 2021-05-12T01:29:47+0000

The radius of cone is 2 inches

Solution:

The volume of cone is given by formula:

$V = (\pi r^2h)/(3)$

Where,

"V" is the volume of cone

"r" and "h" are the radius and height of cone respectively

Given that, volume of a cone is 16 pi cubic inches

Its height is 12 inches

Therefore, we get,

V =
$16 \pi$ cubic inches

h = 12 inches

r = ?

Substituting the values in formula, we get

$16 \pi = ( \pi * r^2 * 12)/(3)\\\\16 = 4r^2\\\\r^2 = 4\\\\r = \pm 2$

Since, radius cannot be negative, ignore r = -2

Thus radius of cone is 2 inches