Question

Which of the following is the volume of the largest cone that can fit inside of a cube whose volume is 8 cubic inches?

(1) 2/3Ï€ in 3 (2) 8/3Ï€ in 3
(3) 7 π in 3 (4) 12 π

Answer 1

Explanation:

The cube is 2 x 2 x 2 inches

so the cone has a height of 2 inches and a radius of 1 inch

volume of cone = 1/3 pi r^2 h

= 1/3 pi (1^2)(2) = 2/3 pi in^3 or = 2.09 in^3