SOLUTION: A cylinder and the cone have the same diameter of 10 inches. The height of the cone is twice the height of the cylinder, which is 8 inches. Find the volume of each figure (leave yo

Question 853983: A cylinder and the cone have the same diameter of 10 inches. The height of the cone is twice the height of the cylinder, which is 8 inches. Find the volume of each figure (leave your answer in terms of π). Which one has the greater volume?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Not sure what you mean, so taking the height logically as written, height of the cylinder is 8 inches, so the height of the cone is 16 inches. It could also be kept as variable h until clarification is made.

...Changing! Using h for cylinder height and 2h for cone height,
Volume of cylinder:
Volume of cone:

Ratio of cylinder to cone is 1:2/3 which is .
The cylinder volume is larger.
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