Answer :

Answer:

2093.3 cubic units

Step-by-step explanation:

The wedge of cheese is a sector of a circle with height 15.

Therefore,

Volume of the wedge of cheese = Area of sector × height =

[tex] \frac{theta}{360} \times \pi {r}^{2} \times height[/tex]

[tex] = \frac{40}{360} \times 3.14 \times {20}^{2} \times 15[/tex]

[tex] = \frac{753600}{360} = 2093.3333[/tex]

Volume of the wedge of cheese = 2093.3 cubic units