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.

Question

Mathematics

Mario Henry

16 May, 10:31

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.

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Answers (1)

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Bronson Malone · Answer 1

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