SOLUTION: What is the height of a cone with a volume of 66 cubic centimeters and a base with a radius of 3 centimeter?

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Question 391408: What is the height of a cone with a volume of 66 cubic centimeters and a base with a radius of 3 centimeter?
Found 2 solutions by solver91311, ewatrrr:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The volume of a cone is given by:



So the height is:



Plug in your values for V and r and do the arithmetic. Leave the answer in terms of if you want the exact answer to the question.

John

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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         

V+=+%281%2F3%29pi%2Ar%5E2%2Ah+=+%281%2F3%29pi%2A9%2Ah+=+3h%2Api+cm%5E3+=+66cm%5E3

substituting pi = 3.14

   h = 66cm^3 /3cm^2*3.14 = 7.0cm