Answer: ![1,179\pi\ in^3](https://tex.z-dn.net/?f=1%2C179%5Cpi%5C%20in%5E3)
Step-by-step explanation:
The volume of a cylinder can be calculated with the following formula:
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
Where "r" is the radius and "h" is the height.
The volume of a sphere can be found with this formula:
![V=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%20r%5E3)
Where "r" is the radius.
Then, volume of the empty cylinder is:
![V_c=\pi (\frac{18\ in}{2})^2(15\ in)\\\\V_c=1,215\pi \ in^3](https://tex.z-dn.net/?f=V_c%3D%5Cpi%20%28%5Cfrac%7B18%5C%20in%7D%7B2%7D%29%5E2%2815%5C%20in%29%5C%5C%5C%5CV_c%3D1%2C215%5Cpi%20%5C%20in%5E3)
And the volume of the ball is:
![V_b=\frac{4}{3}\pi (\frac{6\ in}{2})^3\\\\V_b=36\pi \ in^3](https://tex.z-dn.net/?f=V_b%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%20%28%5Cfrac%7B6%5C%20in%7D%7B2%7D%29%5E3%5C%5C%5C%5CV_b%3D36%5Cpi%20%5C%20in%5E3)
Finally, you need to subtract them in order to calculate how much water is in the cylinder:
![1,215\pi \ in^3-36\pi \ in^3=1,179\pi\ in^3](https://tex.z-dn.net/?f=1%2C215%5Cpi%20%5C%20in%5E3-36%5Cpi%20%5C%20in%5E3%3D1%2C179%5Cpi%5C%20in%5E3)
Answer
<span>The lower quartile for the data
hope it helps</span>
I hope this helps. Have a great rest of your day!