Предмет: Геометрия, автор: KillKaM102

осевое сечение конуса правильный треугольник со стороной 6 найти площадь поверхности сферы вписанной в конус

Ответы

Автор ответа: MashaKlimova

Сначала считаем радиус окружности, вписанной в правильный треугольник:

r=a/(2√3)=3/√3=√3

Теперь посчитаем поверхность сферы радиуса √3

S=4πr^2=12π

Ответ 12π

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