Answer:
[tex]2.4*10^{7}cm^{3}[/tex]
Explanation:
First you should calculate the volume of a big sphere,so:
[tex]V_{big}=\frac{4}{3}\pi r^{3}[/tex]
[tex]V_{big}=\frac{4}{3}\pi (181cm)^{3}[/tex]
[tex]V_{big}=2.4*10^{7}cm^{3}[/tex]
Then you calculate the volume of a small spehre, so:
[tex]V_{small}=\frac{4}{3}\pi r^{3}[/tex]
[tex]V_{small}=\frac{4}{3}\pi (5.01cm)^{3}[/tex]
[tex]V_{small}=5.3*10^{2}cm^{3}[/tex]
Finally you subtract the two quantities:
[tex]V_{big}-V_{small}=2.4*10^{7}cm^{3}-5.3*10^{2}cm^{3}[/tex]
[tex]V_{big}-V_{small}=2.4*10^{7}cm^{3}[/tex]