Question

A pyramid and a cone are both 10 centimeters tall and have the same

volume. What statement must be true about the two solids?

A. The vertical cross-sections of the pyramid and cone at the same
width must have the same area,
B. The area of the cross-sections of the pyramid and cone are
multiples of each other,
C. The horizontal cross-sections of the pyramid and cone at the
same height must have the same area
D. The cross-sections of the pyramid and cone are the same shape

Answer 1

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Answer:

C. The horizontal cross-sections of the pyramid and cone at the same height must have the same area

Explanation:

Cavalieri's principle says that solids with corresponding cross sections of the same area will have the same volume. Statement C is the converse of this principle.