Given:
Radius of cylinder is, r = 10 cm.
Height of the cylinder is, h = 7 cm.
The objective is to find the total surface area of the right circular cylinder.
The formula to find the total surface area is,
[tex]\text{TSA}=2\pi r(h+r)[/tex]Now, substitute the given values in the above equation.
[tex]\begin{gathered} \text{TSA}=2\pi10(7+10) \\ =20\pi(17) \\ =340\pi \\ =1068.14cm^2 \end{gathered}[/tex]Hence, the total surface area of the cylinder is 1068.14 sq. cm.