Question

Срочно надо решить Основание цилиндра имеет радиус 13 см, высота 14,5 см. Найдите полную площадь поверхности цилиндра

Answer 1

Відповідь: повна площа циліндра дорівнює 715$\pi$ см².

Answer 2

Calculation of the Surface Area of a Cylinder

To find the total surface area of a cylinder, we need to calculate the sum of the areas of the two circular bases and the lateral surface area.

The formula for the surface area of a cylinder is:

Surface Area = 2πr² + 2πrh

Where: - r is the radius of the base of the cylinder - h is the height of the cylinder

Given that the radius of the cylinder is 13 cm and the height is 14.5 cm, we can substitute these values into the formula to find the surface area.

Surface Area = 2π(13)² + 2π(13)(14.5)

Let's calculate the surface area using these values.

Surface Area = 2π(169) + 2π(13)(14.5)

Surface Area = 338π + 377π

Surface Area = 715π

To find the numerical value of the surface area, we can use the approximation of π as 3.14.

Surface Area ≈ 715 * 3.14

Surface Area ≈ 2247.1 cm²

Therefore, the full surface area of the cylinder is approximately 2247.1 cm².

Please note that the value of π used in this calculation is an approximation.