Which generalization of the volume of pyramids or cones is true? (1 point)

The volume of a pyramid or cone is
• equal to the volume of the larger shape that it comes from.
The volume of a pyramid or cone is
O one-third the volume of the larger
shape that it comes from.
The volume of a pyramid or cone is
O one-fourth the volume of the larger shape that it comes from.
The volume of a pyramid or cone is
• one-half the volume of the larger shape that it comes from.

1 answer

The correct generalization of the volume of pyramids or cones is:

The volume of a pyramid or cone is one-third the volume of the larger shape that it comes from.

For example, the volume of a right circular cone is one-third the volume of a cylinder with the same base and height, and the volume of a pyramid is one-third the volume of a prism with the same base and height.