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Omni-MATH / Consider a circular cone with vertex V, and let ABC be a triangle inscribed in the base of the cone, such that AB is a diameter and AC=BC. Let L be a point on BV such that the volu…

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problem

Consider a circular cone with vertex VV, and let ABCA B C be a triangle inscribed in the base of the cone, such that ABA B is a diameter and AC=BCA C=B C. Let LL be a point on BVB V such that the volume of the cone is 4 times the volume of the tetrahedron ABCLA B C L. Find the value of BL/LVB L / L V.
Plain-text mathematical notation (without MathML)
Consider a circular cone with vertex V, and let ABC be a triangle inscribed in the base of the cone, such that AB is a diameter and AC=BC. Let L be a point on BV such that the volume of the cone is 4 times the volume of the tetrahedron ABCL. Find the value of BL/LV.
Original LaTeX notation
Consider a circular cone with vertex $V$, and let $A B C$ be a triangle inscribed in the base of the cone, such that $A B$ is a diameter and $A C=B C$. Let $L$ be a point on $B V$ such that the volume of the cone is 4 times the volume of the tetrahedron $A B C L$. Find the value of $B L / L V$.

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task_id
86a9a50a-7089-5417-85d0-324b53b8b0b2
task_key
test--86a9a50a-7089-5417-85d0-324b53b8b0b2
task_revision_id
1
config / split
/ test

Official source

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