# Radius of a cone, given height and volume

Not what you're looking for? Search our solutions OR ask your own Custom question.

A cone has an altitude of 40. The volume of that cone equals the volume of a sphere. If their radii are equal, how do I find that radius?

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:13 pm ad1c9bdddfhttps://brainmass.com/math/geometry-and-topology/radius-cone-given-height-volume-35575

#### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

A cone has an altitude ...

#### Solution Summary

The radius of a cone is found, given height and that it has same volume as a sphere of the same radius.

$2.49