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Задать вопрос экспертам

Консультация № 151776

25.11.2008, 14:53

0.00 руб.

0 1 1

Образование

1. Из металлического цилиндра, длина которого 6 см и окружность 4Пи см, расплавили три одинаковых цилиндра, длина которого также 6 см. Вычислить радиус.

2. Объем свинцового шара - 25 литров. Сколько шаров с диаметром в 2 см можно сделать?

Спасибо!

Обсуждение

давно

Roman Chaplinsky / Химик CH

Модератор
156417
2175

25.11.2008, 23:28

общий

это ответ

Здравствуйте, Aleksandr Noskov!
1 Радиус цилиндра r=4[$8719$]/2[$8719$]=2 см
Объём цилиндра V=H*[$8719$]*r²
Объём каждого полученного цилиндра в 3 раза меньше, чем у исходного при той же длине H*[$8719$]*r₂²=1/3*H*[$8719$]*r²
r₂²=1/3*r²
r₂=r/[$8730$]3=2/[$8730$]3=2[$8730$]3/3

2 Объём маленьких шариков V₂=4/3*[$8719$]*r³=4/3*[$8719$]*(1см)³=4/3*[$8719$] см³
Объём большого V₁=25000 см³
количество шаров V₁/V₂=25000/(4/3*[$8719$])=18750/[$8719$]=5968 шариков (с округлением вниз до целого)

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