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.

Question

Natali [406]

3 years ago

14

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.

Mathematics

1 answer:

Maru [420] · Answer 1 · 2021-12-27T00:13:48+03:00

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