Question

В цилиндре параллельно его оси и на расстоянии 8 см от нее проведено сечение, площадь которого равна 120см², вычислить высоту цилиндра, если его радиус 10смС рисунком пожалуйста

Answer 1

Применены : формула площади прямоугольника, свойства равнобедренного треугольника, теорема Пифагора

Answer 2

Calculating the Height of the Cylinder

To calculate the height of the cylinder, we can use the formula for the lateral surface area of a cylinder, which is given by the formula:

Lateral Surface Area = 2 * π * radius * height

Given that the lateral surface area of the cylinder is 120 cm², and the radius is 10 cm, we can solve for the height using the provided information.

Calculation

First, let's calculate the height of the cylinder using the lateral surface area formula:

120 cm² = 2 * π * 10 cm * height

Now, we can solve for the height:

height = 120 cm² / (2 * π * 10 cm) height ≈ 1.91 cm

So, the height of the cylinder is approximately 1.91 cm.

Visual Representation

Unfortunately, I'm unable to provide a visual representation at the moment. However, I hope the explanation and calculation provided are helpful in understanding how to determine the height of the cylinder. If you have any further questions or need additional assistance, feel free to ask!