Find the total surface area of a cylinder with a base radius of 4 cm and a generatrix equal to 5.
| May 13, 2021 | education
A cylinder is a body of rotation of a rectangle around its side.
The total surface area of a cylinder is equal to the sum of the areas of its lateral surface and the areas of two bases:
Sp.p. = Sb.p. + 2Sb;
Sosn. = πr ^ 2;
Sosn. = 3.14 * 4 ^ 2 = 3.14 * 16 = 50.24 cm2.
Sb.p. = 2πrh;
Sb.p. = 2 * 3.14 * 4 * 5 = 125.6 cm2;
Sp.p. = 125.6 + 2 * 50.24 = 125.6 + 100.48 = 226.08 cm2.
Answer: the total surface area of the cylinder is 226.08 cm2.
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