Answer:
Assuming the ball is a perfect sphere, we can use the formula for the volume of a sphere to calculate the amount of air it can hold.
The formula for the volume of a sphere is:
V = (4/3)πr^3
where V is the volume, π is a mathematical constant approximately equal to 3.14, and r is the radius of the sphere.
To calculate the radius of the ball from its diameter of 15 inches, we divide by 2:
r = d/2 = 15/2 = 7.5 inches
Substituting this value into the formula, we get:
V = (4/3)π(7.5)^3 ≈ 1767.15 cubic inches
Therefore, the ball can hold approximately 1767.15 cubic inches of air to the nearest tenth.
Explanation: