Question

Очень срочно пожалуйста!!!!!!!!!!!!! Высоты цилиндра 8 см, а диагональ осевого сечения образует с плоскостью основания угол, равный 60 градусов . Найти площадь боковой поверхности цилиндра и его объём. Помогите пожалуйста решить сестрёнке)))) Очень будем благодарны Вам за помощь!!!!!!!

Answer 1

Sбок пов=2πrh     h=8  r=8/2/2=2
s=2π*2*8=32π(см²)
cечением будет прямоугольник диагональ образует угол 30градусов
диаметр=8/2=4    радиус=4/2=2

Answer 2

Task: Finding the lateral surface area and volume of a cylinder

To find the lateral surface area and volume of a cylinder, we need to use the given information: the height of the cylinder is 8 cm, and the angle between the diagonal of the base and the plane of the base is 60 degrees.

Lateral Surface Area of a Cylinder

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

To find the radius of the base, we can use the given information about the angle between the diagonal of the base and the plane of the base. However, we need more information to determine the exact value of the radius. Could you please provide the length of the diagonal of the base or any other relevant information?

Volume of a Cylinder

The volume of a cylinder can be calculated using the formula: Volume = πr^2h, where r is the radius of the base and h is the height of the cylinder.

Similarly, we need the radius of the base to calculate the volume. Please provide the length of the diagonal of the base or any other relevant information.

Once we have the necessary information, we can calculate the lateral surface area and volume of the cylinder.