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Question

A rectangular sheet of paper with perimeter 51 cm. is rolled into a right cylinder. If xx represents the length of the paper, that then becomes the circumference of the open base of the cylinder. The volume of the cylinder is given by:

V=π(x2π)2(51−2x2)V=π(x2π)2(51-2x2)

Using a graphing calculator, determine the following:

a) What is the domain of the function? 

b) The length of the paper, xx, that maximizes the volume of the cylinder. x=x=  cm

c) The maximum volume of the cylinder. Maximum volume =  cubic cm

Answer 1

After following the suggestions in the video answer, check your work here:

desmos.com/calculator/pjqzwxx9fw