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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
1.Шарообразный резервуар диаметром N метров заполняется через трубу круглого сечения диаметром M сантиметров. Скорость течения жидкости V сантиметров в секунду. Сколько времени нужно на заполнение резервуара ? 2.Сейчас N часов, M минут и S секунд. Сколько секунд прошло от начала суток ?. 3. Найти площадь фигуры, полученной отсечением от квадрата со стороной R сегмента круга радиусом (3/4)R, центр которого совпадает с одной из вершин квадрата. Решить в Html!
Извините... Я думал, что здесь помогут решить хотя бы одну задачу. Я не до конца понимаю, как это сделать Тем более задачи задали дочке, а я в этом не разбираюсь) Ещё раз извините.
1. Объём резервуара диаметром N метров равен [$960$]N[sup]3[/sup]/6 м3 (формула объёма шара). Площадь сечения трубы диаметром M сантиметров равна [$960$]M[sup]2[/sup]/4 см2 (формула площади круга), и при скорости течения V см/с за одну секунду через трубу пройдёт [$960$]VM[sup]2[/sup]/4 см3 жидкости или, с учётом того, что 1 см3 = 1/1000000 м3, [$960$]VM[sup]2[/sup]/4000000 м3. Разделив объём резервуара на эту величину, получим [$960$]N[sup]3[/sup]/6:[$960$]VM[sup]2[/sup]/4000000 = 2000000N[sup]3[/sup]/3VM[sup]2[/sup] с - время заполнения резервуара.
2. В часе 60 минут. в минуте 60 секунд, поэтому от начала суток прошло 60(60N+M)+S = 3600N+60M+S секунд.
3. Площадь квадрата со стороной R равна R[sup]2[/sup], площадь круга радиуса 3R/4 равна [$960$](3R/4)[sup]2[/sup] = 9[$960$]R[sup]2[/sup]/16. Так как центр круга совпадает с вершиной квадрата и стороны квадрата сходятся под прямым углом, то отсекаемый от квадрата сегмент составляет четверть круга, и его площадь равна 9[$960$]R[sup]2[/sup]/64, а площадь оставшейся фигуры составит R[sup]2[/sup] - 9[$960$]R[sup]2[/sup]/64 = (1-9[$960$]/64)R[sup]2[/sup].
Не могли бы Вы уточнить, что означает "решить в html" (дело в том, что html - это формат интернет-страниц и "решить" в нём что-либо нельзя, можно только оформить решение).
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