The radius of a solid right circular cylinder is $66\frac{2}{3}\%$ of its height. If the height is 'h' centimeters then its total surface area(in $cm^2$)is:

$\frac{20}{9}\pi h^2$ $\frac{40}{9}\pi h^2$ $\frac{44}{9}\pi h^2$ $4 \pi h^2$

$\frac{20}{9}\pi h^2$