Answer: [tex]1,179\pi\ in^3[/tex]
Step-by-step explanation:
The volume of a cylinder can be calculated with the following formula:
[tex]V=\pi r^2h[/tex]
Where "r" is the radius and "h" is the height.
The volume of a sphere can be found with this formula:
[tex]V=\frac{4}{3}\pi r^3[/tex]
Where "r" is the radius.
Then, volume of the empty cylinder is:
[tex]V_c=\pi (\frac{18\ in}{2})^2(15\ in)\\\\V_c=1,215\pi \ in^3[/tex]
And the volume of the ball is:
[tex]V_b=\frac{4}{3}\pi (\frac{6\ in}{2})^3\\\\V_b=36\pi \ in^3[/tex]
Finally, you need to subtract them in order to calculate how much water is in the cylinder:
[tex]1,215\pi \ in^3-36\pi \ in^3=1,179\pi\ in^3[/tex]
