SOLUTION: A cone sits on top of a cylinder. Both have a radius of 3. The heights of the cylinder and cone are 8 and 4 respectively. Determine the exact volume of the combined solid.

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Question 257435: A cone sits on top of a cylinder. Both have a radius of 3. The heights of the
cylinder and cone are 8 and 4 respectively. Determine the exact volume of the
combined solid.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Lets first find the volume of the cylinder.
We have
V+=+pi%2Ar%5E2h
V+=+pi%2A3%5E2%2A8
V+=+72pi
--
Now the volume of the cone
We have
V+=+%281%2F3%29Bh
V+=+%281%2F3%29pi%2Ar%5E2%2Ah
V+=+%281%2F3%29%2Api%2A3%5E2%2A4
V+=+12pi
--
adding these we get
V+=+84pi