SOLUTION: You have a cylinder with a diameter of 15 inches and height of 12 inches. What is the volume of the largest sphere that will fit inside of it?

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Question 1024314: You have a cylinder with a diameter of 15 inches and height of 12 inches. What is the volume of the
largest sphere that will fit inside of it?

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Well if the height is 12 inches, then that is the limiting dimension for the size of the sphere. Its diameter is 12 inches too. The radius is then 6 inches and the volume is
V+=+%284%2F3%29pi%2Ar%5E3+=+%284%2F3%29pi%2A6%5E3
= 288 pi cubic inches