Given :
The value of the surface area of the cylinder is equal to the value of the volume of the cylinder.
To Find :
The relation between height and radius.
Solution :
[tex]S.A=2\pi rh+2\pi r^2=2\pi r(h+r)[/tex]
[tex]V=\pi r^2h[/tex]
Now ,
[tex]S.A=V\\\\2\pi r(h+r)=\pi r^2h\\\\2(h+r)=rh\\\\2h+2r=rh\\\\h(2-r)=-2r\\\\h=\dfrac{2r}{r-2}[/tex]
Hence, this is the required solution.
