HMMT November 2017 U33

Guts
Answer

Tetrahedron $A B C D$ with volume 1 is inscribed in circumsphere $\omega$ such that $A B=A C=A D=2$ and $B C \cdot C D \cdot D B=16$ . Find the radius of $\omega$ .

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{5}{3}

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