Question

NEED HELP PLEASE! WILL GIVE MEDAL:

Answer 1

I have come to the conclusion that the answer would not be Cylinder Y nor Pyramid N bb.

Answer 2

Answer : Cone Z   and Cylinder Y

Prism M and pyramid N have the same base area and the same height.

Volume of prism = base area * height

Volume of pyramid = $\frac{1}{3}$ * base area * height

cone Z has the same base area as cylinder Y, but it's height is three times the height of cylinder Y

So volume of prism and pyramid cannot be same.

Cylinder P and prism Q have the same height and the same base perimeter.

Volume of cylinder =base area * height= $\pi r^2h$

Volume of prism = base area * height

The base area is not same as base perimeter so the volume of cylinder and prism cannot be same.

cone Z has the same base area as cylinder Y, but it's height is three times the height of cylinder Y

Volume of cylinder = base area * height = $\pi r^2 * h$

Volume of cone = $\frac{1}{3}$ * base area * height = $\frac{1}{3}*\pi r^2$ * height

Given height of cone is three times the height of cylinder Y

So volume of cone becomes =  $\frac{1}{3}*\pi r^2$ *3* h= $\pi r^2$ * h

Hence Volume of cone Z = Volume of cylinder Y