Respuesta :

Answer:

The volume of the cylinder is;

[tex]653.45\text{ }in^3[/tex]

Explanation:

Given the figure in the attached image;

[tex]\begin{gathered} r=4\text{ in} \\ h=13\text{ in} \end{gathered}[/tex]

Recall that the volume of a cylinder can be calculated using the formula;

[tex]V=\pi r^2h[/tex]

Substituting the given values;

[tex]\begin{gathered} V=\pi r^2h \\ V=\pi(4)^2\times13 \\ V=653.45\text{ }in^3 \end{gathered}[/tex]

Therefore, the volume of the cylinder is;

[tex]653.45\text{ }in^3[/tex]