The radius of the cylinder is 11, the height is 15. Find the total surface area of the cylinder.

The total surface area of the cylinder is equal to the sum of the areas of its two bases and the area of the lateral surface:

Sp.p. = 2Sn. + Sb.p ..

Find the area of the base of the cylinder:

Sosn. = πr ^ 2;

Sosn. = 3.14 * 11 ^ 2 = 3.14 * 121 = 379.94 cm2.

We calculate the area of the lateral surface of the cylinder:

Sb.p .. = 2πrh;

Sb.p .. = 2 * 3.14 * 11 * * 15 = 1036.2 cm2.

Now let’s start calculating the total surface area:

Sp.p. = 2 * 379.94 + 1036.2 = 759.88 + 1036.2 = 1796.08 cm2.

Answer: the total surface area of the cylinder is 1796.08 cm2.