Вопрос школьника по предмету Алгебра
Срочно!!!!!
Прямоугольная трапеция с основанием 5 см и боковыми сторонами 24 и 25 см
вращается вокруг меньшего основания. Найдите объем тела вращения.
Ответ учителя по предмету Алгебра
Ответ:
Объяснение:
h²=15²-x²
h²=20²-(25-x)²
225-x²=400-625+50x-x²
50x=450
x=9
h²=225-81=144
h=12
Vцилиндра -2Vконуса
V=πR²h=π12²25=3600π
V= 1/3*πR²h=1/3*π12²*7=336π
V=3600π-2*336π=2928π≈91.9392
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