Curved surface area of cylinder is 256sq.cm and its volume is 512cm cube . Find its radius and height.

radius --- r

height ---- h
Volume = π r^2 h = 512

curved area of cylinder (the sleeve) = 2πrh = 256
πr^2h/(2πrh) = 512/256
r/2 = 2
r = 4

sub into 2πrh = 256
2πr(4) = 256
r = 32/π

check my arithmetic