A solid right circular cylinder has a hemisphere hollowed out from each end. Given that the total surface area is 64pi cm sq, find the radius of the cylinder when the volume is maximum.
A solid right circular cylinder has a hemisphere hollowed out from each end. Given that the total surface area is 64pi cm sq, find the radius of the cylinder when the volume is maximum.
Surface area simplifies to ..
Volume ..
Substitute h into this equation . After that , calculate then have it equals to 0 to find r .