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The volume of the figure is 208π cubic inches.
Explanation:
From the figure, it is obvious that the radius is 4 in.
The height of the figure is 13 in.
We need to determine the volume of the figure.
Volume:
The volume of the figure can be determined using the formula,
[tex]V=BH[/tex]
where B is the area of the base and H is the height.
The area of the base is [tex]\pi r^2[/tex]
Substituting the values, we get,
[tex]V=\pi r^2 H[/tex]
[tex]V=\pi (4)^2(13)[/tex]
[tex]V=\pi (16)(13)[/tex]
[tex]V=208 \pi[/tex]
Thus, the volume of the figure is 208π cubic inches.