Question

The radius of a cylinder is 3.5 ft. The height is 14 ft. Find the surface area and volume of the cylinder to the nearest tenth of a foot. Show your work.

Answer 1

Given:
radius : 3.5 ft
height : 14 ft

Surface Area of a cylinder = 2πrh + 2πr²
S.A. = 2 * 3.14 * 3.5ft * 14ft + 2 * 3.14 * (3.5ft)²
S.A. = 307.72ft² + 2 * 3.14 12.25ft²
S.A. = 307.72ft² + 76.93ft²
S.A. = 384.65 ft²

Volume of a cylinder = πr²h
V = 3.14 * (3.5ft)² * 14ft
V = 3.14 * 12.25ft² * 14ft
V = 538.51 ft³