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| Math Central | Quandaries & Queries |
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Question from Alfredo, a student: What is the altitude of the largest circular cone that may be cut out from a sphere of radius 6 cm? |
Hi Alfredo,
I can help you get started.
The volume $V$ of a circular cone of base radius $r$ and height $h$ is given by
\[V = \frac13 \pi \; r^2 h.\]
What is the slant height of the cone?
Penny
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