Answer: 92 cubic meters
Step-by-step explanation:
To find the volume of shaded region we need to subtract the volume of cone from volume of sphere.
radius of cone = 2 m
height of cone = 5 m
Volume of cone is given by :_
[tex]\text{Volume}=\frac{1}{3}\pi\times r^2h\\\\\Rightarrow\text{Volume}=\frac{1}{3}\times3.14\times(2)^2(5)\\\\\Rightarrow\text{Volume}=20.9333333333\approx20.93[/tex]cubic meters
radius of sphere = 3 m
Volume of sphere is given by :-
[tex]\text{Volume}=\frac{4}{3}\pi\times r^3\\\\\Rightarrow\text{Volume}=\frac{4}{3}\times3.14\times(3)^3)\\\\Rightarrow\text{Volume}=113.04[/tex]cubic meters
Volume of shaded region=Volume of sphere-Volume of cone=113.04-20.93=92.11≈92 cubic meters
