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Prism Mand 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.
The figures
and
have the same volume.
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The figures Cone Z and Cylinder Y have the same volume.

Explanation:

The volume of the cylinder is given by

The volume of the cone is given by

It is given that, "Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y".

Hence, substituting in the volume formula of the volume of the cone.

We get,

Volume of cone Z =

Cancelling the common term, we get,

Volume of cone Z =

Volume of cone Z = Volume of the cylinder Y

Thus, the volume of the cone Z = volume of the cylinder Y

Therefore, the figure cone Z and cylinder Y have the same volume.

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step-by-step explanation:

step-by-step explanation: