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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.

 Mar 29, 2018
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SA of cylinder  =  circumference of base * height  +  2 * area of base

SA of cylinder  =  2pi * radius * height  +  2 * pi * radius2

 

SA of cylinder, in square feet  =  2pi * 3.5 * 14  +  2 * pi * 3.52

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 * radius2 * height

 

volume of cylinder, in cubic feet  =  pi * 3.52 * 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

 Mar 29, 2018

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