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Unit 1 Geometry Help

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KidwaiMaaz001:
I cannot figure out this problem from my textbook.
Could someone please solve it and give the reasoning step by step?
The answer is the book is 16cm.

S_R_K:
Hint #1: SpoilerThe surface of the cone is tangent to the sphere at the point of contact
Hint #2: SpoilerA right-angled triangle can be constructed with vertices at (i) the point of contact between the sphere and the cone; (ii) the centre of the sphere; (iii) the vertex of the cone.

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