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?
Choices:
Prism M
Cylinder p
Cone Z
And
Pyramid N
Prism Q
Cylinder Y

Answer 1

Answer:

Answer Cone Z and Cylinder Y.

Step-by-step explanation:

The relationship between the volume of the cone and the volume of the cylinder with the same height and same base is the volume of the cone is 1/3 of the volume of the cylinder.

The formula for the volume of the cone is :

V = 1/3π$r^{2}$h

The formula for the volume of the cylinder is :

V = π$r^{2}$h

Let be the height of the cylinder Y. Therefore the height of the cone Z is 3h, when we put it into the formula we get :

V = 1/3π$r^{2}$ (3h) = π$r^{2}$h

Therefore Cone Z and Cylinder Y have same volume.

Answer 2

V=1/3*π*R²*H
Сone Z and Cylinder Y have the same volume.