text: which dimension-the radius or the height-has a greater effect on a can's volume?   considering the can to be cyllidrical the volume is v=πr^h  where r is the radius and h is the height now dv=2πrhdr & dv=πr^2dh => 2πrhdr=πr^2dh => 2hdr=rdh => dr/dh=r/2h now  dr/dh > 1 when r/2h > 1 =>   r > 2h this is seldom possible  i.e. height has greater influence