1 answer
(click or scroll down)
To find the volume of the soccer ball based on the mass and density of the air it contains, we can use the formula:
\[ V = \frac{m}{\rho} \]
where:
- \( V \) is the volume,
- \( m \) is the mass,
- \( \rho \) is the density.
Given:
- \( m = 0.08 \) kg,
- \( \rho = 1.225 \) kg/m³.
Substitute the given values into the formula:
\[ V = \frac{0.08 \text{ kg}}{1.225 \text{ kg/m}^3} \]
\[ V = \frac{0.08}{1.225} \]
\[ V \approx 0.06531 \text{ m}^3 \]
Rounding the result to two decimal places, we get:
\[ V \approx 0.07 \text{ m}^3 \]
Therefore, the volume of the soccer ball is approximately 0.07 cubic meters.