SOLUTION: The surface area of a cylinder is 2 x (are of base) + (circumference of base)x height In the cylinder below the radius is 4 centimeters and surface area is 72 pi square centimete

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Question 955117: The surface area of a cylinder is 2 x (are of base) + (circumference of base)x height
In the cylinder below the radius is 4 centimeters and surface area is 72 pi square centimeters
What is the height of the cylinder?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Area=2%28pi%29r%5E2%2B2r%28pi%29h
Area=2%28pi%29r%28r%2Bh%29 Divide each side by 2(pi)r
Area%2F%282%28pi%29r%29=r%2Bh Subtract r from each side
%28Area%2F%282%28pi%29r%29%29-r=h
%2872%28pi%29cm%5E2%2F%282%28pi%294cm%29%29-4cm=h
%2836cm%5E2%2F4cm%29-4cm=h
9cm-4cm=h
5cm=h ANSWER: The height is 5 centimeters.
CHECK:
Area=2%28pi%29r%5E2%2B2r%28pi%29h
72%28pi%29cm%5E2=2%28pi%294%5E2cm%5E2%2B2%284cm%29%28pi%295cm
72%28pi%29cm%5E2=2%28pi%2916cm%5E2%2B40cm%5E2%28pi%29
72%28pi%29cm%5E2=32cm%5E2%28pi%29%2B40cm%5E2%28pi%29
72%28pi%29cm%5E2=72%28pi%29cm%5E2