Answer
$2,095.24$ cubic inches
Work Step by Step
The volume $(V)$ of a sphereis given by the formula:
$V=\frac{4}{3}\pi{r^3}$
where
$r$=radius
The given figure involves a hemisphere whose radius is 10 inches.
Using the formula above, and knowing that a hemisphere is half of a sphere, then the volume of the given hemisphere is:
$V=\frac{1}{2} \cdot \left[\frac{4}{3}(\frac{22}{7})(10^3)\right]
\\V=\frac{1}{2} \cdot \frac{88}{21}(1000)
\\V=1,095.238095
\\V\approx 2,095.24$
Therefore, the volume of the hemisphere is $2,095.24$ cubic inches.
