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Выполните вспомогательный рисунок, на котором изобразите заданную уравнением кривую -- в данном случае заключённую между прямыми (это ось ординат) и часть правой ветви параболы-- в декартовой прямоугольной системе координат на плоскости. Из рисунка Вы увидите, что ординатами концов отрезка (дуги) параболы являются и
От уравнения перейдите к уравнению
Затем вычислите искомый объём фигуры, полученной вращением указанного отрезка параболы (такая фигура представляет собой, как известно из курса аналитической геометрии, часть параболоида вращения), по формуле
Обычно при выполнении аналогичных заданий преподаватели требуют изобразить заданную фигуру на рисунке. Я думаю, что Вы сумеете сделать это. Не перепутайте оси координат.
Об авторе:
Facta loquuntur.
Форма ответа
Отправка постов/ответов доступна только зарегистрированным и подтвержденным пользователям.
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Гордиенко Андрей Владимирович 
кривую -- в данном случае заключённую между прямыми 
(это ось ординат) и 
часть правой ветви параболы-- в декартовой прямоугольной системе координат 
на плоскости. Из рисунка Вы увидите, что ординатами концов отрезка (дуги) параболы являются 
и 
перейдите к уравнению 
