Question

A crystal ball with a diameter of 2r inches is being packaged for shipment. If the crystal ball is placed inside a circular cylinder with radius r inches and height h inches, how much volume will need to be filled with padding? Assume r = 6, h = 12. (The volume of a sphere with radius r is 4πr3/3, and the volume of a right circular cylinder with radius r and height h is πr 2h.)

Answer 1

Volume of Cylinder is pi r^2 h
V = pi (6)^2 (12)
V = 432 pi

Volume of sphere = 4/3 pi r^3
V = 4/3 pi (6)^3
V = 288 pi

Space for Packaging = 432 pi - 288 pi = 144 pi
(Check my work)

Answer 2

Thank you so much!!!