HMMT November 2016 T9
- Team
- Answer
A cylinder with radius 15 and height 16 is inscribed in a sphere. Three congruent smaller spheres of radius are externally tangent to the base of the cylinder, externally tangent to each other, and internally tangent to the large sphere. What is the value of ?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{15 \sqrt{37}-75}{4}
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