to play basketball with her friends, evangeline needs to pump air in her ball, which is completely deflated…

Explanation:

Step1: Calculate the mass of the air

$$m_{air} = m_{inflated} - m_{deflated} = 0.624\text{ kg} - 0.615\text{ kg} = 0.009\text{ kg}$$

Step2: Determine the radius of the ball

$$r = \frac{d}{2} = \frac{0.24\text{ m}}{2} = 0.12\text{ m}$$

Step3: Calculate the volume of the sphere

$$V = \frac{4}{3}\pi r^{3} = \frac{4}{3}\pi (0.12)^{3} \approx 0.0072382\text{ m}^{3}$$

Step4: Calculate the air density

$$\rho = \frac{m_{air}}{V} = \frac{0.009}{0.0072382} \approx 1.2434\text{ kg/m}^{3}$$

Step5: Round to the nearest hundredth

$$\rho \approx 1.24\text{ kg/m}^{3}$$

Answer:

1.24 kilograms per cubic meter