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Omni-MATH / Tetrahedron ABCD with volume 1 is inscribed in circumsphere ω such that AB=AC=AD=2 and BC⋅CD⋅DB=16. Find the radius of ω.

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problem

Tetrahedron ABCDA B C D with volume 1 is inscribed in circumsphere ω\omega such that AB=AC=AD=2A B=A C=A D=2 and BC⋅CD⋅DB=16B C \cdot C D \cdot D B=16. Find the radius of ω\omega.
Plain-text mathematical notation (without MathML)
Tetrahedron ABCD with volume 1 is inscribed in circumsphere ω such that AB=AC=AD=2 and BC⋅CD⋅DB=16. Find the radius of ω.
Original LaTeX notation
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 $\omega$.

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Source and history

task_id
e607a4ff-b57e-5073-8732-4dfd3352244d
task_key
test--e607a4ff-b57e-5073-8732-4dfd3352244d
task_revision_id
1
config / split
/ test

Official source

initial import