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Home  >>  CBSE XII  >>  Math  >>  Application of Derivatives

The sum of the surface area of a rectangular parallelepiped with sides x,2x and $\Large\frac{x}{3}$ and a sphere is given to be constant.Prove that the sum of their volume is minimum,if x is equal to three times the radius of the sphere.Also find the minimum value of the sum of their volumes.

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