Answer:
![2.4*10^{7}cm^{3}](https://tex.z-dn.net/?f=2.4%2A10%5E%7B7%7Dcm%5E%7B3%7D)
Explanation:
First you should calculate the volume of a big sphere,so:
![V_{big}=\frac{4}{3}\pi r^{3}](https://tex.z-dn.net/?f=V_%7Bbig%7D%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E%7B3%7D)
![V_{big}=\frac{4}{3}\pi (181cm)^{3}](https://tex.z-dn.net/?f=V_%7Bbig%7D%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%28181cm%29%5E%7B3%7D)
![V_{big}=2.4*10^{7}cm^{3}](https://tex.z-dn.net/?f=V_%7Bbig%7D%3D2.4%2A10%5E%7B7%7Dcm%5E%7B3%7D)
Then you calculate the volume of a small spehre, so:
![V_{small}=\frac{4}{3}\pi r^{3}](https://tex.z-dn.net/?f=V_%7Bsmall%7D%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E%7B3%7D)
![V_{small}=\frac{4}{3}\pi (5.01cm)^{3}](https://tex.z-dn.net/?f=V_%7Bsmall%7D%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%285.01cm%29%5E%7B3%7D)
![V_{small}=5.3*10^{2}cm^{3}](https://tex.z-dn.net/?f=V_%7Bsmall%7D%3D5.3%2A10%5E%7B2%7Dcm%5E%7B3%7D)
Finally you subtract the two quantities:
![V_{big}-V_{small}=2.4*10^{7}cm^{3}-5.3*10^{2}cm^{3}](https://tex.z-dn.net/?f=V_%7Bbig%7D-V_%7Bsmall%7D%3D2.4%2A10%5E%7B7%7Dcm%5E%7B3%7D-5.3%2A10%5E%7B2%7Dcm%5E%7B3%7D)
![V_{big}-V_{small}=2.4*10^{7}cm^{3}](https://tex.z-dn.net/?f=V_%7Bbig%7D-V_%7Bsmall%7D%3D2.4%2A10%5E%7B7%7Dcm%5E%7B3%7D)
A double displacement reaction is a type of reaction in which two reactants exchange ions to form two new compounds. Many double displacement reactions occur between ionic compounds that are dissolved in water. A double replacement reaction is represented by the general equation.