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Консультация № 188851
25.02.2016, 20:26
0.00 руб.
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1
Здравствуйте! У меня возникли сложности с таким вопросом:В шар радиуса R вписана правильная четырёхугольная пирамида. Боковые рёбра пирамиды наклонены к плоскости основания под углом а. Вычислить объём этой пирамиды. Заранее благодарен.
Обсуждение
26.02.2016, 12:08
общий
это ответ
Здравствуйте, Алексей Валентинович!
Пусть
- правильная четырёхугольная пирамида с вершиной 
В диагональном сечении этой пирамиды рассмотрим равнобедренный треугольник 
В этом треугольнике обозначим через 
середину стороны 
Тогда
По диагонали основания пирамиды находим сторону основания:
Находим объём пирамиды:
Проверьте, пожалуйста, выкладки во избежание ошибок.
С уважением.
Пусть
- правильная четырёхугольная пирамида с вершиной В диагональном сечении этой пирамиды рассмотрим равнобедренный треугольник В этом треугольнике обозначим через середину стороны ТогдаПо диагонали основания пирамиды находим сторону основания:
Находим объём пирамиды:
Проверьте, пожалуйста, выкладки во избежание ошибок.
С уважением.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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