Answer
$V=\frac{147}{16}\pi$ cubic inches
Work Step by Step
The formula for the volume of a cone is $V=\frac{1}{3}\pi r^{2}$ where $r$=radius and $h$=height. According to the figure, $r=1\frac{3}{4}$ in and $h=9$ in.
$V=\frac{1}{3}\pi r^{2}h$
$V=\frac{1}{3}\pi (1\frac{3}{4})^{2}(9)$
$V=\frac{1}{3}\pi (\frac{7}{4})^{2}(9)$
$V=\pi (\frac{7}{4})^{2}(3)$
$V=\pi (\frac{49}{16})(3)$
$V=\frac{147}{16}\pi$ cubic inches
