The surface area of a cylinder, S, is found by using the formula S = 2pieR^2 + 2pieRH. Find the surface area of a cylinder with a diameter of 12 inches and a height of 9 inches.

Question

The surface area of a cylinder, S, is found by using the formula S = 2pieR^2 + 2pieRH. Find the surface area of a cylinder with a diameter of 12 inches and a height of 9 inches. What is the volume of this cylinder?

Answer 1

2pi(r^2) = 2pi(36) = 72pi

2pirh = 2pi(6)(9) = 108pi

total surface area = 180pi = about 565.5 square inches

volume = pi(r^2)h = pi(36)(9) = 324 pi cubic inches = about 1017.9 in^3