Question

В цилиндр вписана правильная четырехугольная пирамида,боковая грань которой образует с плоскостью основания угол а .Высота пирамиды Н .Найдите площадь основания цилиндра.

Answer 1

SF/EF=tgα
EF=SF/tgα=H/tgα
по теореме Пифагора
AF²=EF²+EA²
EF=EA
AF=(√2H)/tgα=R
S=πR²=(2πH²)/tg²α

Answer 2

Finding the Area of the Base of the Cylinder

To find the area of the base of the cylinder, we need to determine the shape of the base. According to the given information, a regular quadrilateral pyramid is inscribed in the cylinder, and one of its lateral faces forms an angle 'a' with the plane of the base. However, the specific shape of the base is not mentioned.

Without further information about the shape of the base, it is not possible to calculate the exact area. If you can provide more details about the shape of the base, I would be happy to assist you further.

Please let me know if there is anything else I can help you with.