Here's the question
The diagram shows a sphere with center O that contains a cone whose diameter AB is equal to its height CM. What is the ratio of the cone’s volume to the sphere’s volume?
A circular cone with height 24 and radius 6 is placed on its circular face on a table. It is then cut by a horizontal plane, which is parallel to the circular base and passes through the midpoint of the height. The volume of the lower part of the cone can be written as A*PI.
What is the value of A?
A circular sector can be folded into a cone by joining its two radii. For a circular sector with a radius equal to 1, what is the maximum volume of the cone? If the circular sector has a central angle θ, what is the value of θ at the maximum volume?
