To find:
The volume of the sphere tank whose radius is 15.1 feet.
Solution:
The formula used to find the volume of a sphere whose radius is r is:
![V=(4)/(3)\pi r^3](https://img.qammunity.org/2023/formulas/mathematics/high-school/zraet4fw93vx9gjz3iextthjo546ibcpwc.png)
For the given question, r = 15.1. So, the volume is:
![\begin{gathered} V=(4)/(3)*3.14*(15.1)^3 \\ V=14414.488\text{ cu ft} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/rm9sdropobemxevsz6g2czluyc9ogbmyo1.png)
Thus, the volume to the nearest hundredth is 14414.49 cu ft.
So, option B is correct.