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Консультация № 203180
22.09.2022, 12:55
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Здравствуйте! У меня возникли сложности с таким вопросом:
Вычислить объем V тела, ограниченного поверхностями V:= x^2 +y^2=7x , x^2 +y^2+z^2=49
Вычислить объем V тела, ограниченного поверхностями V:= x^2 +y^2=7x , x^2 +y^2+z^2=49
Обсуждение
23.09.2022, 14:11
общий
Адресаты:
Я помог бы Вам, но я работаю бесплатно, "ЗаСпасибо". А Вы в своих консультациях rfpro.ru/question/202011 (Ссылка) и rfpro.ru/question/203039 не сочли нужным поблагодарить экспертов за много-часовую помощь.
Ограничусь подсказкой: x2 + y2 + z2 = 72 - это уравнение сферы радиуса 7 ,
а из x2 + y2 - 7·x = 0 выделите полный квадрат x2 - 2·3,5·x + 3,52 + y2 - 3,52 = 0
и получите вертикально-расположенный цилиндр с осью [$8214$] оси OZ , у кот-го проекция на плоскость XOY - окружность
(x - 3,5)2 + y2 = 3,52 радиуса 3,5, смещённая на X0 = +3,5 от начала координат.
Ограничусь подсказкой: x2 + y2 + z2 = 72 - это уравнение сферы радиуса 7 ,
а из x2 + y2 - 7·x = 0 выделите полный квадрат x2 - 2·3,5·x + 3,52 + y2 - 3,52 = 0
и получите вертикально-расположенный цилиндр с осью [$8214$] оси OZ , у кот-го проекция на плоскость XOY - окружность
(x - 3,5)2 + y2 = 3,52 радиуса 3,5, смещённая на X0 = +3,5 от начала координат.
Форма ответа
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