Question

С чего складается поверхня цилиндра​

Answer 1

Ответ:

Поверхня циліндра складається з основ і бічної поверхні.

Answer 2

The Surface of a Cylinder

The surface of a cylinder is composed of two parts: the curved surface and the two circular bases.

The Curved Surface: The curved surface of a cylinder is formed by the lateral area, which is the part that wraps around the sides of the cylinder. It can be calculated by multiplying the height of the cylinder by the circumference of the base. The formula for the lateral area of a cylinder is:

Lateral Area = 2πrh

Where: - π (pi) is a mathematical constant approximately equal to 3.14159. - r is the radius of the base of the cylinder. - h is the height of the cylinder.

The Circular Bases: The circular bases of a cylinder are the two flat, circular surfaces at the top and bottom of the cylinder. The area of each circular base can be calculated using the formula:

Base Area = πr^2

Where: - π (pi) is a mathematical constant approximately equal to 3.14159. - r is the radius of the base of the cylinder.

Total Surface Area: To find the total surface area of a cylinder, you need to add the area of the curved surface to the areas of the two circular bases. The formula for the total surface area of a cylinder is:

Total Surface Area = 2πrh + 2πr^2

Where: - π (pi) is a mathematical constant approximately equal to 3.14159. - r is the radius of the base of the cylinder. - h is the height of the cylinder.

Please note that the formulas provided assume a right circular cylinder, where the base is a perfect circle and the height is perpendicular to the base.

Example Calculation:

Let's say we have a cylinder with a radius of 5 units and a height of 10 units. We can calculate the surface area as follows:

Lateral Area = 2πrh = 2 * 3.14159 * 5 * 10 = 314.159 square units

Base Area = πr^2 = 3.14159 * 5^2 = 78.53975 square units

Total Surface Area = 2πrh + 2πr^2 = 2 * 3.14159 * 5 * 10 + 2 * 3.14159 * 5^2 = 628.3185 + 157.0795 = 785.398 square units

Therefore, the surface area of the given cylinder is approximately 785.398 square units.

I hope this explanation helps! Let me know if you have any further questions.