## Exam-Style Question on Standard Form## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 151. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.

The volume of the Moon is \(2.2 \times 10^{10}\) km^{3}

The volume of the Saturn is \(8.3 \times 10^{14}\) km^{3}

How many times larger is the radius of Saturn than the radius of the Moon?

Assume that Saturn and the Moon are both spheres and that the volume \(v\) of a sphere with radius \(r\) is given by the following formula.

$$v=\frac43\pi r^3$$Give your answer to 2 significant figures.

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