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.

The figures_________ and_________ have the same volume.
1.) A.) prism M
B.) cylinder P
C.) cone Z

2.) A.) pyramid N
B.) prism Q
C.) cylinder Y

Answer 1

This question is kinda confusing looking on here but i think the answer is z and y have the same volume

Answer 2

C.) cone Z and C.) cylinder Y

Explanation:

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

The formula for the volume of a cylinder is

V = πr²h

The formula for the volume of a cone is

V = 1/3πr²h

Let h be the height of cylinder Y. This means that the height of cone Z is 3h; plugging this into the formula, we have

V = 1/3πr²(3h) = πr²h