solve T=2r(pi)h+2(pi)r^(2) ;solve 4 h

show work...please help

T is evidently the surface area of a cylinder of radius r and height h.

I guess you want to solve for the height h given the area T
2 pi r h = T - 2 pi r^2
so
h = (T -2 pi r^2)/(2 pi r)

In other words
(total area - top and bottom area) / circumference