To play basketball with her friends, Evangeline needs to pump air in her ball, which is completely deflated. Before inflating it, the ball weighs 0.615 kilograms. Afterwards, it weighs 0.624 kilograms. The diameter of the ball is 0.24 meters. Assuming the inflated ball is perfectly spherical, what is the air density within it? Round your answer, if necessary, to the nearest hundredth. kilograms per cubic meter

Step 1 ：Given that the weight of the deflated ball is 0.615 kilograms and the weight of the inflated ball is 0.624 kilograms, we can find the mass of the air inside the ball by subtracting the weight of the deflated ball from the weight of the inflated ball. This gives us \(0.624 - 0.615 = 0.009\) kilograms.

Step 2 ：We are also given that the diameter of the ball is 0.24 meters. The radius of the ball is half of the diameter, so it is \(0.24 / 2 = 0.12\) meters.

Step 3 ：We can calculate the volume of the ball using the formula for the volume of a sphere, which is \((4/3)\pi r^3\). Substituting the radius of 0.12 meters into the formula gives us a volume of approximately 0.00724 cubic meters.

Step 4 ：Finally, we can find the density of the air by dividing the mass of the air by the volume of the ball. This gives us \(0.009 / 0.00724 = 1.24\) kilograms per cubic meter.

Step 5 ：Final Answer: The air density within the ball is \(\boxed{1.24}\) kilograms per cubic meter.