Предмет: Геометрия, автор: Андрей95

Длина окружности основания цилиндра равна 8П см, а диагональ осевого сечения-17см.Найдите образующую цилиндра

Ответы

Автор ответа: Hrisula

Образующую найдем из прямоугольного треугольника, образованного диагональю осевого сечения цилиндра и диаметром основания.

Диагональ (гипотенуза) дана в условии.

диаметр найдем из длины окружности по формуле

8π=2πr

2r=8

d=8 см

Квадрат образующей равен разности квадратов диагонали осевого сечения и диаметра окружности основания

Квадрат длины образующей цилиндра

17²-8²=225 см²

Длина образующей цилиндра

√225=15 см

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ДАЮ 30 БАЛЛОВ строчно
Прочитать текст и Ответить T (true), F (false) or DS (doesn’t say)
AUSTRALIA
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7 The boomerang helped the Aborigines to collect their dreamtime mythology.