Question

Сечение цилиндра плоскостью, параллельной его оси, является квадратом, площадь которого равна 144 см“, и удалено от оси на 8 см. Найдите радиус основания цилиндра ​

Answer 1

Ответ:

Объяснение:

10см

Answer 2

Finding the Radius of the Cylinder's Base

To find the radius of the cylinder's base, we need to use the given information about the square cross-section and its area.

Let's break down the problem step by step:

1. We are given that the cross-section of the cylinder is a square. 2. The area of the square cross-section is given as 144 cm². 3. The cross-section is parallel to the axis of the cylinder. 4. The cross-section is located 8 cm away from the axis of the cylinder.

To find the radius of the cylinder's base, we can use the following formula:

Area of a square = side length × side length

Since the cross-section is a square, we can find the side length of the square by taking the square root of the given area:

Side length of the square = √(Area of the square) = √144 cm² = 12 cm

Now, we know that the distance between the axis of the cylinder and the square cross-section is 8 cm. This distance is equal to the radius of the cylinder's base.

Therefore, the radius of the cylinder's base is 8 cm.

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