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marinellos
@marinellos
July 2022
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Периметр осевого сечения цилиндра равна 6 дм, при каком радиусе его объем будет максимальным? с решение пожалуйста
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au456
Verified answer
4R+2H=6
V=πR^2*H=πR^2*(3-2R)=6πR^2-4πR^3
V'=π(12R-12R^2)=0
R=1
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Answers & Comments
Verified answer
4R+2H=6V=πR^2*H=πR^2*(3-2R)=6πR^2-4πR^3
V'=π(12R-12R^2)=0
R=1