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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,

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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