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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.

1 answer

Surface Area:

Surface Area = 2πr2 + 2πrh

= 2π(3.5 ft)2 + 2π(3.5 ft)(14 ft)

= 2π(12.25 ft2) + 2π(49 ft)

= 24.5π ft2 + 98π ft2

= 122.5π ft2

= 384.7 ft2 (to the nearest tenth of a foot)

Volume:

Volume = πr2h

= π(3.5 ft)2(14 ft)

= π(12.25 ft2)(14 ft)

= 171.5π ft3

= 545.2 ft3 (to the nearest tenth of a foot)