SOLUTION: Volume of a Cone The volume V of a right circular cone is v=1/3pi r^2h. If the height is twice the radius, express the volume V as a function or r.

Algebra ->  Functions -> SOLUTION: Volume of a Cone The volume V of a right circular cone is v=1/3pi r^2h. If the height is twice the radius, express the volume V as a function or r.      Log On


   

Question 775592: Volume of a Cone The volume V of a right circular cone is v=1/3pi r^2h. If the height is twice the radius, express the volume V as a function or r.
Answer by tanjo3(60) About Me  (Show Source):
You can put this solution on YOUR website!
(1) h = 2r. Substitute for h in the equation.
V(r) = %281%2F3%29%28pi%29r%5E2%282r%29

(2) r^2(2r) = 2r^3
V(r) = %281%2F3%29%28pi%29%282r%5E3%29
V(r) = %282%28pi%29%28r%5E3%29%2F3%29