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A cylinder of maximum volume is carved o...

A cylinder of maximum volume is carved out from a wooden cuboid of length 20 cm and a square cross section of side =4 cm. The volume of wood wasted is

Text Solution

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Volume of cylinder`=pir^2h`
`=22/7*(14/2)^2*20`
`=3080 cm^3`
Total volume of cuboid`=20*14*14=3920cm^3`
Volume of wood wasted=Total volume-Volume of cylinder.
`=3920-3080`
`=840cm^3`.
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