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
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