What is the surface area of this cylinder that has a radius of 6 inches and a height of 8 inches?

Total surface area is ##527.8## ##"inch"^2##

The curved surface of a cylinder can be cut and open like a rectangle whose sides are height of cylinder and circumference of its circular part (see figure below), which is ##2pir##.

Hence, area of curved surface is ##2xxpixx6xx8=96pi##

Further area of two circles at both ends will be ##2pir^2##, which is ##2xxpixx6xx6=72pi##

Hence total surface area is ##96pi+72pi=168pi=168xx3.1416##

= ##527.7888~=527.8## ##"inch"^2##