Review question

# If a cone sits on this sphere, what 's the cone's volume? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R9694

## Question

A sphere of radius $\quantity{6}{cm}$ fits inside a cone of vertical angle $84^\circ$, so that $BA$ is a tangent to the sphere.

Calculate

1. the length $AB$;
2. the radius of the base of the cone;
3. the shortest distance from $B$ to the sphere;
4. the volume of the cone.