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Viluxent Set 1 Paper 2 · Q18

Paper 2Geometry

A cone is inscribed in a sphere of fixed radius RR (the apex and the entire circular base rim lie on the sphere), so that its volume is as large as possible.

Find the ratio of the volume of this cone to the volume of the sphere.

A13\frac13
B49\frac49
C827\frac8{27}
D23\frac23
E1627\frac{16}{27}
F3281\frac{32}{81}

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