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October 26, 2014

Homework Help: Calculus

Posted by Anonymous on Wednesday, June 4, 2008 at 9:24pm.

Consider all right circular cylinders for which the sum of the height and circumference is 30 centimeters. What is the radius of one with maximum volume.

Work:
V=(pi)r^2(h)
h= V/(pi)(r^2)

2(pi)r + h=30

V=(pi)r^2(h)
V'=2(pi)(r)h+2pi(r^2)=0

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