Answer:
423.9 inches³
Explanation:
First we will calculate the volume of the cylinder using the formula
Vc = hπr²
Vc = 12π(3.5)² [radius is 1/2 diameter]
Vc = 147π
Next we calculate the volume of the sphere using 4/3*πr³
Vs = 4/3 πr³
Vs = 4/3π3³
Vs = 12π
Finally, we subtract the volume of the cylinder by the volume of the sphere to get the remaining volume in the cylinder that can be filled with water.
147π - 12π = 135π
Using the approximate 3.14, the answer is 423.9 inches³