Suppose a sphere and a cube have equal surface areas. using r for the radius of the sphere and s for the side of a cube, enter an equation to show the relationship between r and s. if necessary, round to the nearest tenth

A cube is made of 6 squares stacked up to each other, like the one in the picture below.

now if each square has a side length of "s", then its area is s*s or s², and since we have 6 squares in the cube, its surface area is then 6s².

as far as the surface area of the sphere we already know is 4πr².

and recall that both SA are equal, thus

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