Answer:
1,620π in³
Explanation:
The volume of a cylinder can be found with the following formula;
V = πr²h
[] Basically, the area of the circle-shape times the height.
We can plug-in our values, plug-in x, and then solve for V.
V = πr²h
V = π(4x - 6)²(11x + 12)
V = π(4(3) - 6)²(11(3) + 12)
V = π(12 - 6)²(33 + 12)
V = π(12 - 6)²(33 + 12)
V = π(6)²(45)
V ≈ 5089.38 in³
Since it is asking for in terms of pi, the answer will be 1,620π in³
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather