Предмет: Геометрия, автор: Аноним

Радиус основания конуса равен 4,5 см. а высота конуса на 3 см меньше образующей Найдите объем конуса

Ответы

Автор ответа: ludmilaksenija2005

Ответ:

V=12,66n см^3

Объяснение:

Радиус основания R=4,5 см

Образующая l =x см

Высота Н =(х-3) см

Обьем V=?

По теореме Пифагора :

l^2=R^2+h^2

X^2=4,5^2+(x-3)^2

X^2=20,25+x^2-6x+3^2

6x=20,25+9

6x=29,25

X=4,875 см - образующая

Высота Н=4,875-3=1,875 см

V=(nR^2×H)/3

V=(n×4,5^2×1,875)/3=12,66n см^3

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