SOLUTION: A cone is circumscribed by a hemisphere radius of which is equal to the height of the cone. Find the ratio of the volume of the cone to the volume of the hemisphere.

Algebra ->  Bodies-in-space -> SOLUTION: A cone is circumscribed by a hemisphere radius of which is equal to the height of the cone. Find the ratio of the volume of the cone to the volume of the hemisphere.      Log On


   

Question 1135896: A cone is circumscribed by a hemisphere radius of which is equal to the height of the cone. Find the ratio of the volume of the cone to the volume of the hemisphere.
Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A cone is circumscribed by a hemisphere radius of which is equal to the height of the cone.
Find the ratio of the volume of the cone to the volume of the hemisphere.
:
%28%281%2F3%29%2Api%2Ar%5E2%2Ar%29%2F%28%284%2F3%29%2Api%2Ar%5E3%29 = %28%281%2F3%29%2Api%2Ar%5E3%29%2F%28%284%2F3%29%2Api%2Ar%5E3%29
cancel pi*r^3
%281%2F3%29%2F%284%2F3%29 = 1%2F3 * 3%2F4 = 1%2F4; 1:4

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
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https://www.algebra.com/algebra/homework/Bodies-in-space/Bodies-in-space.faq.question.1135910.html

https://www.algebra.com/algebra/homework/Bodies-in-space/Bodies-in-space.faq.question.1135910.html