A wedge of cheese is cut from a cylindrical block. Find the total volume of the wedge to the nearest tenth.

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