SOLUTION: How many empty cones of radius 1 and height of 1 will fill the volume of an empty sphere with radius 1

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Question 944846: How many empty cones of radius 1 and height of 1 will fill the volume of an empty sphere with radius 1

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For the sphere,
V%5Bs%5D=%284%2F3%29pi%2AR%5E3=%284%2F3%29pi%281%5E3%29=%284%2F3%29pi
For the cylinder,
V%5Bc%5D=%28pi%2F3%29r%5E2%2Ah=%28pi%2F3%29%281%5E2%29%281%29=pi%2F3
So,
V%5Bs%5D%2FV%5Bc%5D=%28%284%2F3%29pi%29%2F%28pi%2F3%29
V%5Bs%5D%2FV%5Bc%5D=4