Which Indian cricketer is known as "Brown Bradman"?

On which island is the port of Heraklion?

Hours after attacking Pearl Harbour in 1941, Japanese forces annexed which USA territory?

As what was the RAF, formed in 1970, better known?

In which novel does Michael Henchard sell his wife and child for 5 guineas?

In 1988, 290 people were killed when an Iranian airliner was shot down by a ship belonging to what navy?

In January 2006, what space probe was sent to investigate Pluto?

What is the basis for a pina colada?

Where were the first modern Olympic Games held, from 6 to 15 April 1896?

1. What would think is interesting about Hindu culture?

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?