Question

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The radius of a cylinder is 3.5 fth 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

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