A cylinder is a type of prism. The volume of a prism is calculated using the formula:
[tex]Volume=Base\text{ }Area\times Height[/tex]
The area of a quadrant base is calculated using the formula:
[tex]\begin{gathered} Base\text{ }Area=\frac{\pi r^2}{4} \\ where \\ r=radius \end{gathered}[/tex]
From the question, the following parameters are given:
[tex]\begin{gathered} r=6 \\ h=8 \end{gathered}[/tex]
Therefore, the volume is calculated to be:
[tex]\begin{gathered} V=\frac{\pi\times6^2}{4}\times8 \\ V=226.19 \end{gathered}[/tex]
The volume is 226.19 cubic inches.
