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vuhopen
vuhopen
16.08.2021 12:12 •  Математика

Построить график и исследовать функцию. распишите решение подробно. заранее

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Ответ:
tseng7788
tseng7788
16.08.2021

Пошаговое объяснение:

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4,6(44 оценок)
Ответ:
enni00
enni00
16.08.2021

Объем конуса = 96π куб. единиц.

Пошаговое объяснение:

Рисунок в приложении.

Объем конуса равен произведению одной трети площади основания на высоту.  Vкон = \frac{1}{3} * Sосн * H = \frac{1}{3} * πR² * H;

Так как по условию диаметр основания конуса D = 12, то его радиус R = D/2 = 12/2 = 6.

ΔSOA прямоугольный, ∠SOA = 90°, SO - высота конуса, образующая конуса SA = 10, радиус основания OA = 6. По т. Пифагора найдем высоту конуса:

SO² = SA² - OA² = 10² - 6² = 100 - 36 = 64;

Высота конуса H = SO = \sqrt{64} = 8.

Найдем объем конуса:

Vкон = \frac{1}{3} * π * 6² * 8 = \frac{1}{3} * π * 36 * 8 = π * 12 * 8 = 96π (куб. единиц).

Vкон = 96π куб. единиц.


Диаметр основания конуса равен 12, а длина образующей — 10. найдите объем этого конуса.
4,7(32 оценок)
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