According to Cavaleri's Principle, if a cone and a pyramid have the same height, then

A) they have equal volumes.

B) they have equal surface areas.

C) they have equal volumes if their bases have equal areas.

D) they have equal surface ares if their bases have equal areas.

Question

Mathematics

Isabelle Willis

6 April, 18:36

According to Cavaleri's Principle, if a cone and a pyramid have the same height, then

A) they have equal volumes.

B) they have equal surface areas.

C) they have equal volumes if their bases have equal areas.

D) they have equal surface ares if their bases have equal areas.

+4

Answers (1)

Know the Answer?

Landon Kerr · Answer 1

Cavalieri's principle can simply be summarized as:

If two objects have the same base area and height, their volumes are the same. Therefore, the answer is C.

According to Cavaleri's Principle, if a cone and a pyramid have the same height, thenA) they have equal volumes.B) they have equal surface areas.C) they have equal volumes if their bases have equal areas.D) they have equal surface ares if their bases have equal areas.

According to Cavaleri's Principle, if a cone and a pyramid have the same height, then

A) they have equal volumes.

B) they have equal surface areas.

C) they have equal volumes if their bases have equal areas.

D) they have equal surface ares if their bases have equal areas.