Предмет: Математика, автор: andreykamatvie

Найти S п.п. конуса с площадью основания 36 π, если образующая составляет с плоскостью основания угол 45 градусов

Ответы

Автор ответа: dariaboscorelli

Ответ: 72 корня из двух π см^2

Пошаговое объяснение: Sпп = πRL + πR^2

Sосн=πR^2

Sосн = 36π

r = h ( высоте конуса ), потому что угол между плоскостью основания и образующей равен 45 градусов.

По т.Пифагора образующая: √36+36= √72 = 6√2

Sпп = π*6*6√2*36π = 72√2 π

Приложения:

andreykamatvie: можешь сделать рисунок

dariaboscorelli: прикрепила к ответу

andreykamatvie: спасибо

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