Having a bit of trouble with this one. Can anyone help?
Many thanks.
Q. The surface are, S, of a cylinder is given by S = 2 r^{2} + 2 rh. Its volume, V, is given by V = r^{2}h. Express V in terms of S & r only.
Attempt: V = S => r^{2}h = 2 r^{2} + 2 rh => r^{2}h = 2 (r^{2} + rh) => V = ...
Ans.: V = (S - 2 r^{2})