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?
What is the maximum volume of a cone inscribed in a sphere of radius 6?
Note: share your workings also
A circular sector with central angle equal to 120 as shown in figure. We want to place a square symmetrically in it as shown. If the radius of the circular sector is 100 units, what is the side length of the square ?
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?
