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.
[tex] V= 2\pir^2 + 2\pirh [/tex]
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?