Question

Помогите,пожалуйста! радиус основания цилиндра равен 3.найти диагональ осевого сечения цилиндра,если она наклонена к плоскости основания цилиндра под углом 60 градусов.

Answer 1

Finding the Diagonal of the Axis Section of a Cylinder

To find the diagonal of the axis section of a cylinder, we need to know the radius of the base of the cylinder and the angle at which the diagonal is inclined to the plane of the base.

Given: - Radius of the base of the cylinder = 3 - Angle between the diagonal and the plane of the base = 60 degrees

To find the diagonal, we can use the formula:

Diagonal = 2 * Radius * sin(Angle)

Substituting the given values into the formula, we get:

Diagonal = 2 * 3 * sin(60)

Now, let's calculate the value of the diagonal.

Using a calculator, we find that the sine of 60 degrees is approximately 0.866.

Diagonal = 2 * 3 * 0.866 = 5.196

Therefore, the diagonal of the axis section of the cylinder, when inclined at an angle of 60 degrees to the plane of the base, is approximately 5.196.

Please note that the search results did not provide a direct answer to this specific question. The calculation was done using the formula for finding the diagonal of the axis section of a cylinder.