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Problem

Two rectangular sheets 20cm x 24cm and 15cm x 30cm are to be rolled to form cylinders. What is the height and diameter of the cylinder with maximum surface area that can be formed using either of these sheets?

My Solution

The surface area of a cylinder, including the ends, is 2* (pi)*r*h + 2 *(pi) *r^2. I want r to be the largest value. So for the first sheet, r = 24cm and h = 20cm and d = 12cm.

For the second sheet, r = 30cm, h = 15cm, and d = 15cm.

I welcome any comments or corrections.

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# Surface Area of a Cylinder

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