the volume of a cube is three times the volume of a sphere.given the length of cube is x and the radius of sphere is r.show that the surface area of sphere is

Volume of cube  =  x^3

Volume of sphere  =   (4/3)pi* r^3

And

3(4/3)pi * r^3  =  x^3

4pi * r^3   =  x^3 

r^3  =  x^3 / [ 4pi]     take the cube root of both sides

r  =  x / (4pi)^(1/3)    → r^2  =  x^2 / (4pi)^(2/3)

Surface area of sphere  =

4pi * r^2  =  4pi * (x^2) / (4pi)^(2/3)  =  (4pi)^(1/3)*x^2 =  ∛[4pi] * x^2