Question

Площадь боковой поверхности цилиндра равна 36п. Его высота равна 3. Найти диаметр основания цилиндра.

Answer 1

Ответ:

Пошаговое объяснение:

Площадь боковой поверхности равна :

Sбок.= 2πRh =36π   | : π

2R*3=36

6R=36

R= 36 : 6

R= 6 см

Отсюда диаметр основания равен:

d= 2R= 2 * 6 = 12 cм

Answer 2

Problem Analysis

We are given the lateral surface area of a cylinder, which is equal to 36π, and the height of the cylinder, which is 3. We need to find the diameter of the base of the cylinder.

Solution

The lateral surface area of a cylinder is given by the formula: Lateral Surface Area = 2πrh, where r is the radius of the base and h is the height of the cylinder.

In this case, we are given that the lateral surface area is 36π and the height is 3. Let's substitute these values into the formula and solve for the radius:

36π = 2πr(3)

Simplifying the equation, we get:

36 = 6r

Dividing both sides of the equation by 6, we find:

r = 6

The radius of the base of the cylinder is 6. To find the diameter, we can multiply the radius by 2:

Diameter = 2 * Radius = 2 * 6 = 12

Therefore, the diameter of the base of the cylinder is 12.

Answer

The diameter of the base of the cylinder is 12.