If Possible, I would love help with this geometry question.

Question

A chemist needs to store a liquid inside a container in a laboratory room. She is trying to determine whether to store the liquid in a regular square pyramid or in a right circular cone storage container. The pyramid container has a base that is 6 inches by 6 inches and a height of 8 inches. The cone container has a base with a diameter of 6 inches and a height of 10 inches. Which container--the pyramid or the cone--has a greater volume, and by how many more cubic inches? (Round your answer to the nearest cubic inch.)

Answer 1

Regular Square Pyramid

V = 1/3 BH

V = 1/3(s²)H

V = (1/3)6²(8) = (1/3)(36)(8)

V = 96 inches³

 

Right Circular Cone

V = 1/3 πr²H

V = 1/3 π(3)²(10) = 1/3(90π)

V = 30π

V ≈ 94 inches³ 

 

Pyramid has a larger volume by approximately 2 inches³