MATH SOLVE

4 months ago

Q:
# The formula for the volume of a cone is v=1/3pir^2h. Find the radius, to the nearest hundredth, of a cone with a height of 3 in. and a volume of 12in.^3.Show your steps to finding the radius to receive credit.

Accepted Solution

A:

Cone Volume = (π • r² • h) ÷ 3

radius^2 = (3 * Volume) / (PI * height)

radius^2 = (3 * 12) / (PI * 3)

radius^2 = (36)/ (9.4247779608)

radius^2 = 3.8197186342

radius = 1.95

radius^2 = (3 * Volume) / (PI * height)

radius^2 = (3 * 12) / (PI * 3)

radius^2 = (36)/ (9.4247779608)

radius^2 = 3.8197186342

radius = 1.95