TMUA Beyond Horizon Set 2 Paper 1 · Question 11

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Beyond Horizon Set 2 Paper 1 · Q11

Paper 1Geometry

A hollow right circular cone rests on a sphere. The height of the cone is $4$ metres and the radius of the base is $1$ metre. The volume of the sphere is the same as that of the cone. Then, the distance between the centre of the sphere and the vertex of the cone is

4

metres

\sqrt{17}

metres

\sqrt{15}

metres

5

metres

6

metres

\sqrt{13}

metres

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