SOLUTION: Can you find the exact height of a cylinder if it's total surface area is 10 pi cm and it's radius is 4cm

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Question 882885: Can you find the exact height of a cylinder if it's total surface area is 10 pi cm and it's radius is 4cm
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Yes.

Let h = height of cylinder

OPEN CYLINDER
%282%2Api%2A4%29%2Ah=10%2Api, circumference%2Aheight=SurfaceAreaGiven
h=%2810%2Api%29%2F%282%2A4%2Api%29
highlight%28h=5%2F4%29

CLOSED CYLINDER
%282%2Api%2A4%29h%2B2%2A%28pi%2A4%5E2%29=10pi
8%2Api%2Ah%2B32%2Api=10pi
8h%2B32=10
8h=10-32%3C0 Does Not Work.

The description can work if the cylinder is open at both ends. You can now figure if this will work for a cylinder open at only one end.