Thread: Surface area and inscribed cone

I am having trouble with this one.

A right circular cylinder is inscribed within a right circular cone with height 10in and radius of base 3 inches. Find:

A) The total surface area of the cylinder in terms of the radius of the cylinder.
Now I know the the equation of the surface area of cylinder is;

but I don't know how to make it in terms of the radius?

Okay so what I did was this.

and solved for h, so h= then just plugged in and got...