Question

two cubes of each volume 250/3πcm3are melted and recasted in the form a sphere find the total surface area of the sphere

Answer 1

the total surface area of the sphere:500/∛πcm^3

1. volume of one cube=(250/3π)cm^3.

2.volume of two cubes combined will be 2*(250/3π)cm^3

                                                                     =(500/3π)cm^3

3.the volume of the new sphere formed after combining two cubes is (500/3π)cm^3

4.500/3π=4/3*πr^3

where r is the radius of the sphere

 r=5/∛(π^2)

5.the total surface area of a sphere is 4πr^2

   =4π(5/∛(π^2))^2

    =500/∛π

Answer 2

Answer:

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