1. The problem statement, all variables and given/known data A closed cylinder has total surface area equal to [tex] 600\pi [/tex]. Show that the volume, Vcm3, of this cylinder is given by the formula[tex] v = 300\pi-\pi r^3 [/tex], where r cm is the radius of the cylinder. Find the maximum volume of such a cylinder. 2. Relevant equations [tex] V= 2\pir^2 + 2\pirh [/tex] 3. The attempt at a solution not really sure where to start, [tex] 600\pi = 2\pir^2 + 2\pirh [/tex] how would I make this expression equal the other? Thanks!