Problem

Elastic cylinder A rectangle made of elastic material is to be made into a cylinder by joi...

Elastic cylinder A rectangle made of elastic material is to be made into a cylinder by joining edge AD to edge BC, as shown in the figure. A wire of fixed length l is placed along the diagonal of the rectangle to support the structure. Let x denote the height of the cylinder.

(a) Express the volume V of the cylinder in terms of x.
(b) For what positive values of x is V > 0?

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Solutions For Problems in Chapter 3

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