Assume the ball is spherical.
The volume of a sphere is V = (4/3) π (radius)^3
Now assume the given diameter, 24 inches, is the inner diameter of the ballon.
Then the radius is 24 in / 2 = 12 in.
Now you can replace the value in the formula and get:
V = (4/3) π (12 in)^3 = 2,304 π in^3
So, the answer is the option d. 2,304π in^3