The surface area of a sphere is given by the expression, [tex] 4\pi r^{2} [/tex]. The volume of the sphere is given by the expression, [tex] \frac{4}{3}\pi r^{3} [/tex].
Dividing the surface area expression by the volume expression, we get, [tex] \frac{3}{r} [/tex].
So the ratio is inversely dependent on the value of r.
Given for the sphere, the surface area = 588 m², and the volume = 1372 m³.
Dividing the surface are by volume, we get, [tex] \frac{588}{1372} = 0.429 [/tex] as the answer.
