SOLUTION: If the volume of a cone is 168pi inches^3 and its altitude is 14 inches, what is the radius of the cone?

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Question 617507: If the volume of a cone is 168pi inches^3 and its altitude is 14 inches, what is the radius of the cone?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
f the volume of a cone is 168pi inches^3 and its altitude is 14 inches, what is the radius of the cone?
:
The volume of a cone formula: V = 1%2F3*pi%2Ar%5E2%2Ah
Given: v = 168pi, h = 14, find r
1%2F3*pi%2Ar%5E2%2A14 = 168%2Api
divide both sides by pi
1%2F3*r%5E2%2A14 = 168
Multiply both sides by 3
r%5E2%2A14 = 504
divide both sides by 14
r^2 = 504%2F%2814%29
:
r^2 = 36
r = sqrt%2836%29
r = 6 inches is the radius
:
:
Check this on your calc:
forget pi, it's on both sides of the equation.
enter 1%2F3*6%5E2%2A14 results: 168