SOLUTION: how to find the radius of a cone with v=10 and h=5

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Question 454353: how to find the radius of a cone with v=10 and h=5
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
how to find the radius of a cone with v=10 and h=5
:
Vol of a cone: v = %281%2F3%29pi%2Ar%5E2h
replace h and v, find r
%281%2F3%29pi%2Ar%5E2%2A5 = 10
get rid of the fraction, multiply both sides by 3
pi%2Ar%5E2%2A5 = 30
divide both sides by 5pi
r%5E2 = 30%2F%285%2Api%29
r%5E2 = 1.91
r = sqrt%281.91%29
r = 1.382 is the radius
;
:
Check on a calc: enter: 1/3 * pi*1.382^2*5, results: 10.00