Acircle with area 81ㅠ has a sector with a central angle of 120°.

what is the area of the sector?

either enter an exact answer in terms ofㅠ or use 3.14 forㅠ and enter your answer as a decimal.

Acone is placed inside a cylinder. the cone has half the radius of the cylinder, but the height of each figure is the same. the cone is tilted at an angle so its peak touches the edge of the cylinder’s base. what is the volume of the space remaining in the cylinder after the cone is placed inside it?