SOLUTION: A cone has volume V= 1/3 (pi)r^2)h, where r is the radius of the cone's base and h is the height on the cone. Find the height in centimeters of a cone with volume 600(pi)cm^3 and r

Algebra ->  Average -> SOLUTION: A cone has volume V= 1/3 (pi)r^2)h, where r is the radius of the cone's base and h is the height on the cone. Find the height in centimeters of a cone with volume 600(pi)cm^3 and r      Log On


   

Question 1145372: A cone has volume V= 1/3 (pi)r^2)h, where r is the radius of the cone's base and h is the height on the cone. Find the height in centimeters of a cone with volume 600(pi)cm^3 and radius 15 centimeters.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
V=%281%2F3%29h%2Api%2Ar%5E2
V%2A3%2F%28pi%2Ar%5E2%29=h
h=%283V%29%2F%28pi%2Ar%5E2%29

You are given system%28V=600%2Api%2Cand%2Cr=15%29.
Make the substitutions and evaluate h.