SOLUTION: a square-based pyramid has a base side length of 13cm and a height of 16cm. What are the dimensions for a cylinder having the same volume as the pyramid?

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Question 824966: a square-based pyramid has a base side length of 13cm and a height of 16cm. What are the dimensions for a cylinder having the same volume as the pyramid?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Without quoting formula references,
%281%2F3%2913%5E2%2A16=2%2Api%2Ar%5E2%2Ak, where r is the radius of the cylinder and k is the length of the cylinder. They both are variables and unknown because your description did not give any way to specify either. You can pick a value for one of them and find the corresponding value of the other of them.


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Note to student:
You need to give an effort. Your question and description is incomplete and you have TWO variables and enough information for ONE equation. Identify the formulas needed and make the equation. Solve for r, the radius of your expected cylinder, which still involves an unknown height, which in the equation shown, is k.