SOLUTION: A solid sphere of radius 3 cm just fits inside a hollow cone of radius 6cm and height 8cm. Calculate the fraction of the volume of the cone taken up by the sphere. You mus

Algebra ->  Volume -> SOLUTION: A solid sphere of radius 3 cm just fits inside a hollow cone of radius 6cm and height 8cm. Calculate the fraction of the volume of the cone taken up by the sphere. You mus      Log On


   

Question 834571: A solid sphere of radius 3 cm just fits inside
a hollow cone of radius 6cm and height 8cm.

Calculate the fraction of the volume of the cone taken up by the sphere.
You must show your working.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A solid sphere of radius 3 cm just fits inside
a hollow cone of radius 6cm and height 8cm.
:
%28%284%2F3%29%2Api%2Ar%5E3%29%2F%28%281%2F3%29%2Api%2Ar%5E2%2Ah%29
Using the given values
%28%284%2F3%29%2Api%2A3%5E3%29%2F%28%281%2F3%29%2Api%2A6%5E2%2A8%29 = %28%284%2F3%29%2Api%2A27%29%2F%28%281%2F3%29%2Api%2A288%29
cancel pi; do the math, reduce the fraction
%28%284%2F3%29%2A27%29%2F%28%281%2F3%29%2A288%29 = 36%2F96 = 3%2F8 fraction of the cone occupied by the sphere