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Surface Area of a Cylinder = 2 pi r 2 + 2 pi r h

pi = 3.141592...

You can work this problem in inches, or feet. I am starting with inches.

1ft = 12in

height = 4ft x 12in/1ft = 48in

radius = 1/2diameter = 84in/2 = 42in

2pi(42in)2 + 2pi(42in)(48in) = 11,083.53888in2 + 12,666.90158in2 = 23,750.44046in2

You can also work the problem in feet.

1ft = 12in

84in x (1ft/12in) = 7ft

Radius = 1/2diameter = 7ft/2 = 3.5ft

Height = 4ft

2pi(3.5ft)2 + 2pi(3.5ft)(4ft) = 76.96902001ft2 + 87.9645943ft2 =164.9336143ft2

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Q: What is the surface area of a cylinder with the diameter of 84 inches and height is 4 ft?
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