SOLUTION: If the total surface area of a right circular cylinder is 104π square meters, and a radius of the base is 4 meters long, find the height of the cylinder.

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Question 470267: If the total surface area of a right circular cylinder is 104π square meters, and a radius of the base is 4 meters long, find the height of the cylinder.
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
The total surface area of the cylinder is given by the formula:
A=2%28pi%2Ar%5E2%2Bpi%2Ar%2Ah%29, where h is the height and r the radius.
Substituting our values for A, r and h we have:
104%2Api=2%28pi%2A4%5E2%2Bpi%2A4%2Ah%29, solving this equation for h we get:
h=%2852%2Api-16%2Api%29%2F%284%2Api%29 <=> h=36%2Api%2F%284%2Api%29 <=> h=9+m.