SOLUTION: A cone & sphere have equal radii & equal volumes. The ratio of the diameter of the sphere to the height of the cone is what

Algebra ->  Volume -> SOLUTION: A cone & sphere have equal radii & equal volumes. The ratio of the diameter of the sphere to the height of the cone is what       Log On


   

Question 779599: A cone & sphere have equal radii & equal volumes. The ratio of the diameter of the sphere to the height of the cone is what
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Equal volumes and radii
V(cone) = %281%2F3%29%2Api%2Ar%5E2%2Ah
V(sphere)=%284%2F3%29%2Api%2Ar%5E3
V%28sphere%29%2FV%28cone%29=%284%2F3%29%2Api%2Ar%5E3/%281%2F3%29%2Api%2Ar%5E2%2Ah

1=4r%5E3%2Fr%5E2h
1=2d%2Fh
d%2Fh+=1%2F2