A cylinder is generated by rotating a rectangle with perimeter 12 in. about one of its sides.?

Question:Express the volume of the cylinder as a function of x.
Find the approximate value of x that maximizes the volume. Then give the approximate maximum volume.

Answers:
volume=Pie * R^2 * H

rectangle perimeter=2h+2w

12=2h+2w
6=h+w
w=6-h


volume=3.14*(6-h)^2*h

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