Math CentralQuandaries & Queries


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

\[V = \frac13 \pi \; r^2 h.\]

cone in sphere

What is the slant height of the cone?


About Math Central


Math Central is supported by the University of Regina and the Imperial Oil Foundation.
Quandaries & Queries page Home page University of Regina