Answer: Option B
Step-by-step explanation:
The formula for calculate the volume of a hemisphere is:
[tex]V=\frac{2}{3}(\pi r^3)[/tex]
Where r is the radius:
The formula for calculate the volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where r is the radius and h is the height.
Therefore, the volume of the figure is the sum of the volume of the hemisphere and the volume of the cylinder.
Finally, knowing that the radius of the hemisphere and the cylinder is 6 inches and the height of the cylinder is 12 inches, you can substitute values. Then:
[tex]V_{figure}=\frac{2}{3}(\pi (6in)^3)+\pi (6in)^2(12in)\\V_{figure}=576\pi\ in^3[/tex]
