Respuesta :

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.