Answer
V = 9.9 x $10^{1}$ $cm^{3}$ ( to three significant figures)
Work Step by Step
First we have to find the volume of each sphere and than find the difference in volumes.
For sphere with radius 5.61 cm:
$V_{1}$ = $\frac{4}{3}\timesπ\times{r}^{3}$
$V_{1}$= $\frac{4}{3}\times3.14\times({5.61 cm})^{3}$
$V_{1}$= 739.19 $cm^{3}$
For sphere with radius 5.85 cm:
$V_{2}$= $\frac{4}{3}\timesπ\times{r}^{3}$
$V_{2}$= $\frac{4}{3}\times3.14\times({5.85 cm})^{3}$
$V_{2}$= 838.18 $cm^{3}$
Difference: V = $V_{2}$ - $V_{1}$
V = 838.18 $cm^{3}$ - 739.19 $cm^{3}$
V = 98.98 $cm^{3}$
V = 9.898 x $10^{1}$ $cm^{3}$
V = 9.9 x $10^{1}$ $cm^{3}$ ( to three significant figures)
