A hypothetical planet is modelled as a sphere

MATHEMATICS · Subjective · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

A hypothetical planet is modelled as a sphere. The interior has a dense rocky core, and on top of this core is a mantle consisting of a thick layer of ice. The core volume is 4.18×1012 km34.18\times10^{12}\text{ km}^3 and the shell volume is 2.92×1013 km32.92\times10^{13}\text{ km}^3. Determine the radius of the planet in kilometres.

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