Answer
$V=\frac{1}{2}r^{2}\theta h$
Work Step by Step
The base represents the sector of a circle.
The area of a sector of a circle is $A=\frac{1}{2}r^{2}\theta$ where $r$ is the radius of the sector of the circle and $\theta$ is the central angle in radians. Since the base represents the sector of a circle, the area of the base is also equal to $A=\frac{1}{2}r^{2}\theta$.
Multiplying this area by the height to find the volume $V$,
$V=A\times h$
$V=\frac{1}{2}r^{2}\theta\times h$
$V=\frac{1}{2}r^{2}\theta h$
