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The sum of the surface areas of a cuboid...

The sum of the surface areas of a cuboid with sides `x ,2x` and `x/3` and a sphere is given to be constant. Prove that the sum of their volumes is minimum, if `x` is equal to three times the radius of sphere. Also find the minimum value of the sum of their volumes.

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The correct Answer is:
`2/3 x^(3) (1+(2pi)/(27))`
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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-JEE Advanced (Archive)
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