Question

Диагональ осевого сечения цилиндра 17 см, а его высота 15 см. Найдите площадь поверхности цилиндра. Прошу помочь!

Answer 1

Ответ:

ответ на скрине.Решала в заметках

Answer 2

Finding the Surface Area of a Cylinder

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

Given: - Diameter of the cylinder's axial section: 17 cm - Height of the cylinder: 15 cm

To find the surface area, we can follow these steps:

1. Calculate the radius of the cylinder's axial section: - The diameter is given as 17 cm, so the radius is half of that, which is 8.5 cm.

2. Calculate the area of each circular base: - The formula for the area of a circle is A = πr^2, where A is the area and r is the radius. - Substituting the radius value, we get A = π(8.5 cm)^2. - Evaluating this expression, we find that the area of each circular base is approximately 227.33 cm^2.

3. Calculate the lateral surface area: - The formula for the lateral surface area of a cylinder is A = 2πrh, where A is the area, r is the radius, and h is the height. - Substituting the values, we get A = 2π(8.5 cm)(15 cm). - Evaluating this expression, we find that the lateral surface area is approximately 2019.23 cm^2.

4. Calculate the total surface area: - The total surface area of a cylinder is the sum of the areas of its two circular bases and the lateral surface area. - Adding the areas of the circular bases (2 * 227.33 cm^2) to the lateral surface area (2019.23 cm^2), we get a total surface area of approximately 2473.89 cm^2.

Therefore, the surface area of the given cylinder is approximately 2473.89 cm^2.

Please let me know if there's anything else I can help you with!