Respuesta :
The air density is "[tex]1.24\ \frac{kg}{m^3}[/tex]"
Air density:
The initial weight of 7 ball [tex]= 0.615 \ kg\\\\[/tex]
weight of 7 inflated balls[tex]= 0.624 \ kg\\\\[/tex]
Calculating the mass (weight) of 7 air:
[tex]\to 0.624-0.615\ kg\\\\ \to 0.009\ kg\\\\[/tex]
Calculating the diameter of 7 balls:
[tex]\to 0.24 \ m\\\\[/tex]
Calculating the Radius of the ball:
[tex]\to \frac{\text{diameter}}{2}\\\\ \to \frac{0.24}{2}\\\\ \to 0.12\ m\\\\[/tex]
Calculating the volume of air in the ball:
[tex]\to \frac{4}{3} \pi r^3\\\\\to \frac{4}{3} \pi (0.12)^3 \\\\ \to 1.333333 \times 3.14 \times 0.001728 \\\\ \to 0.00723456\\\\[/tex]
Calculating the density of air:
[tex]\to \text{Air density}=\frac{\text{Mass}}{\text{volume}}\\\\[/tex]
[tex]=\frac{ 0.009}{0.00723456}\ \frac{kg}{m^3}\\\\ =1.244\ \frac{kg}{m^3} \\\\=1.24\ \frac{kg}{m^3}[/tex]
Therefore, the air density is "[tex]1.24\ \frac{kg}{m^3}[/tex]".
Find out more information about the air density here:
brainly.com/question/6070675
