Select the correct answer from each drop-down menu.
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
The figures
and
have the same volume.

Respuesta :

Answer:

The figures cone Z and cylinder Y have the same volume.

Explanation:

The formula for volume of the cone Z is given by

The formula for volume of the cylinder Y is given by

Since, 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.

Thus, substituting  in the formula of volume of the cone Z, we get,

Simplifying, we have,

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

Thus, the figures cone Z and cylinder Y have the same volume.

Step-by-step explanation:

Answer:

A. cone Z

B. cylinder Y

Step-by-step explanation:

The figures cone Z and cylinder Y have the same volume.