The planets in our solar system can be modeled using spheres. The diameters for Jupiter and Saturn are shown in the diagram. ![](http://admin.getprephub.com/media/editor/gp12_20230225210951248724.png) The volume of Saturn is $$59.9 \%$$ the volume of Jupiter. What is Saturn's diameter, d, in kilometers? Round your answer to the nearest thousandth.

Given that, diameter of Jupiter $$=142984 {~km}$$ Radius of Jupiter$$({R})=\frac{142984}{2}=71492 {~km}$$ Let, radius of Saturn be $$r$$ km. Volume of Saturn $$=59.9 \% \times$$ Volume of Jupiter $$ \frac{4}{3} \pi r^{3}=59.9 \% \times \frac{4}{3} \pi R^{3} $$ $$\text { Or, } r^{3}=\frac{599}{1000} \times R^{3} $$ $$\text { Or, } r^{3}=\frac{599}{1000} \times 71492^{3} $$ $$\text { Or, } r=60265.17 {~km}$$ Therefore, diameter $$(2 r)=120530.34 {~km}$$

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The planets in our solar system can be modeled using spheres. The diameters for Jupiter and Saturn are shown in the diagram.

The volume of Saturn is $59.9 \%$ the volume of Jupiter.

What is Saturn’s diameter, d, in kilometers? Round your answer to the nearest thousandth.

120530.34

60265.17

71492

142984

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