The difference between the volume of the spheres is 3428.88 cubic feet
Explanation:
Given that one sphere has a radius of 11 feet.
A second sphere has a radius of 8 feet.
<u>Volume of the 1st sphere:</u>
The formula to determine the volume of the sphere is given by
![V=\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
Volume of the 1st sphere is given by
![V=\frac{4}{3}(3.14)(11)^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%283.14%29%2811%29%5E3)
![V=\frac{4}{3}(3.14)(1331)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%283.14%29%281331%29)
![V=\frac{16717.36}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B16717.36%7D%7B3%7D)
![V=5572.45](https://tex.z-dn.net/?f=V%3D5572.45)
The volume of the 1st sphere is 5572.45 cubic feet.
<u>Volume of the 2nd sphere:</u>
Volume of the 2nd sphere is given by
![V=\frac{4}{3}(3.14)(8)^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%283.14%29%288%29%5E3)
![V=\frac{4}{3}(3.14)(512)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%283.14%29%28512%29)
![V=\frac{6430.72}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B6430.72%7D%7B3%7D)
![V=2143.57](https://tex.z-dn.net/?f=V%3D2143.57)
The volume of the 2nd sphere is 2143.57 cubic feet.
<u>Difference between the volume of the two spheres:</u>
Difference = Volume of the 1st sphere - Volume of the 2nd sphere
= 5572.45 - 2143.57
Difference = 3428.88 cubic feet.
Hence, the difference between the volume of the spheres is 3428.88 cubic feet.