SOLUTION: The surface area of a cylinder is 800cm2. What are the radius and height of the cylinder if it has the greatest volume possible.

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Question 1118738: The surface area of a cylinder is 800cm2. What are the radius and height of the cylinder if it has the greatest volume possible.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
system%28v=h%2Api%2Ar%5E2%2C2%2Api%2Ar%5E2%2Bh%2A2pi%2Ar=800%29
That system is just to start.

Use the surface area equation to find a formula for r or for h; and substitute into the volume equation; and from that, look for the maximum v.