Question

He cross-sectional areas of a right pyramid and a right cylinder are congruent. The right pyramid has a height of 5 units, and the right cylinder has a height of 5 units. Which conclusion can be made from the given information?
The volume of the pyramid is half the volume of the cylinder.
The volume of the pyramid is twice the volume of the cylinder.
The volume of the pyramid is equal to the volume of the cylinder.
The volume of the pyramid is not equal to the volume of the cylinder.

Answer 1

Answer:

The volume of the pyramid is not equal to the volume of the cylinder.

Step-by-step explanation:

A right cylinder has the circular cross-sectional area and if the cross-sectional areas of a right pyramid and a right cylinder are the same then the pyramid must be a right circular cone.

Now, the volume of a right cylinder is πr²h and that of a right circular cone is 1/3 πr²h.

Therefore, the radius of the base of the cone and that of the cylinder is the same and their heights are equal to be 5 units, then the volume of the pyramid is not equal to the volume of the cylinder. (Answer)