1.

The sum of the surface areas of a rectangular parallelopiped 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 the sphere. Also find the minimum value of the sum of their volumes.

Answer»


Answer :`V=(2)/(3)X^(3)(1+(2PI)/(27))`


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