Question -
Answer -
Let┬аr┬аand┬аh┬аbethe radius and height of the cylinder respectively.
Then, the surface area (S)┬аofthe cylinder is given by,
Let┬аV┬аbe the volume of thecylinder. Then,
тИ┤ By second derivative test, the volume is the maximumwhen
Hence, the volume is the maximum when the height is twicethe radius i.e., when the height is equal to the diameter.