A cone has a volume of 1309cm^3. If the height of the cone is 8 centimeters, find its radius.

Question

asked Mar 2, 2020 189k views

1 Answer

Michael Krussel · Answer 1 · 2020-03-07T19:53:32+0000

Answer:

The radius is 12.5.

Explanation:

The volume of a cone is found using the formula
$V = (1)/(3) \pi r^2 h$ . Substitute the values V = 1309 and h = 8. Solve for r.

$V = (1)/(3) \pi r^2 h\\1309 = (1)/(3) \pi r^2 * 8\\3927 = \pi r^2*8\\156.2 = r^2\\12.5 = r$