Prism m and pyramid n have the same base area and the same height. cylinder p and prime q have the same height and the same bass perimeter. cone z has the same base area as the cylinder y, but it’s height is three times the height of the cylinder y.

Cone Z and Cylinder Y

Step-by-step explanation:

Complete Question:

Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base perimeter. cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y. Which two figures have the same volume?

Solution:

Volume of Cone is given by  

Volume of Cylinder is given by  

It is given Cone Z has height that is 3 times that of Cylinder Y. Let Cylinder Y have height h ( from formula ), so Cone Z will have height "3h". So, Volume of Cone Z would be now:

Which is same as Volume of Cylinder Y!!

Thus, we can say Cone Z and Cylinder Y have same volume.

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