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.

Guest Mar 29, 2018

#1**+1 **

SA of cylinder = circumference of base * height + 2 * area of base

SA of cylinder = 2pi * radius * height + 2 * pi * radius^{2}

SA of cylinder, in square feet = 2pi * 3.5 * 14 + 2 * pi * 3.5^{2}

SA of cylinder, in square feet = 2pi * 3.5 * 14 + 2 * pi * 12.25

SA of cylinder, in square feet = 98pi + 24.5pi

SA of cylinder, in square feet = 122.5pi

SA of cylinder, in square feet ≈ 384.8

volume of cylinder = area of base * height

volume of cylinder = pi * radius^{2} * height

volume of cylinder, in cubic feet = pi * 3.5^{2} * 14

volume of cylinder, in cubic feet = pi * 12.25 * 14

volume of cylinder, in cubic feet = 171.5pi

volume of cylinder, in cubic feet ≈ 538.8

hectictar Mar 29, 2018