Question

В нижнем основании цилиндра проведена хорда, отстоящая на расстоянии m от центра нижнего основания. Ее видно из этого центра под углом бетта. Отрезок, соединяющий центр верхнего основания с точкой окружности нижнего основания, образует с плоскостью нижнего основания угол альфа. Найти площадь боковой поверхности цилиндра.

Answer 1

Рисунок добавить не могу, но всё же 
1) R=m/cos(бетта/2)
2) H=(m/cos(бетта/2))*tg(альфа)
3)   S= 2pi(m^2/cos^2(бетта/2))*tg(альфа)

Answer 2

Finding the Surface Area of a Cylinder

To find the surface area of a cylinder, we need to consider the lateral surface area and the area of the two bases.

Let's denote the radius of the cylinder as r and the height of the cylinder as h.

Lateral Surface Area of a Cylinder

The lateral surface area of a cylinder can be calculated using the formula:

Lateral Surface Area = 2πrh

where π is a mathematical constant approximately equal to 3.14159.

Area of the Bases of the Cylinder

The area of each base of the cylinder is given by the formula:

Base Area = πr^2

Total Surface Area of the Cylinder

To find the total surface area of the cylinder, we need to sum the lateral surface area and the areas of the two bases:

Total Surface Area = Lateral Surface Area + 2(Base Area)

Now, let's apply this information to the given problem.

Problem Solution

In the given problem, a chord is drawn in the lower base of the cylinder, at a distance of m from the center of the lower base. The chord is visible from the center of the lower base at an angle of β.

Additionally, the line connecting the center of the upper base to the point on the circumference of the lower base forms an angle of α with the plane of the lower base.

To find the lateral surface area of the cylinder, we need the radius and height of the cylinder. Unfortunately, the problem statement does not provide this information. Therefore, we cannot calculate the exact value of the lateral surface area without additional information.

However, if you have the values of the radius and height of the cylinder, you can use the formulas mentioned above to calculate the lateral surface area and the total surface area of the cylinder.

Please provide the values of the radius and height of the cylinder, and I will be happy to help you calculate the surface area.