Total surface area including the end caps:-
(2*pi*52)+(10*pi*6) = 110*pi square cm
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The surface are of a cylinder whose radius is 10cm and height is 20cm is 1884.96cm2
A cylinder whose radius is 5 and height is 7 has a surface area of 377 units2
This cylinder's height is 6 (5.98) units.
A cylinder whose radius is 2cm and height is 8cm has a total surface area of approximately 125.66cm2 {ADDED} To explain that further, the formula is pi*r^2 X h where r is the radius and h the height.
The surface area of a cylinder is 2*pi*radius*height. In this case it would be 2*pi*5*10 = 314.16