Find the dimensions of a cylinder with a surface area of 300 cm^2 with a maximum volume.
The surface area of the cylinder is,
300 = 2(pi r^2) + (2pi rh)......(1)
and the cylinder is, V = (pi) r^2 h .....(2)
where h is the height of the cylinder and r its radius.
To find the maximum volume we ...
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