Question

Диагональ осевого сечения цилиндра равно 6 см и составляет с образующей цилиндра угол 30 градусов.найти боковую поверхность цилиндра и обьем.

Answer 1

Диаметр основания = 3см, как катет лежащий против угла 30 градусов

высота цилиндра равна 5, по теореме Пифагора

бок. поверхность равна п*3*5=15п

объем равен п*(3/2)^2 * 5 = 45/4 n = 11 1/4 n

Answer 2

Diagonal of the Cylinder's Cross-Section and Angle with the Generatrix

The diagonal of the cross-section of a cylinder is 6 cm and forms an angle of 30 degrees with the generatrix of the cylinder.

Finding the Lateral Surface Area of the Cylinder

To find the lateral surface area of the cylinder, we need to know the height of the cylinder. Unfortunately, the height is not provided in the question. Therefore, it is not possible to calculate the lateral surface area without this information.

Finding the Volume of the Cylinder

To find the volume of the cylinder, we need to know the height of the cylinder. Unfortunately, the height is not provided in the question. Therefore, it is not possible to calculate the volume without this information.

Please provide the height of the cylinder so that we can calculate the lateral surface area and volume.