The density of air is approximately 1.225 kg/m^3. What is the volume of a soccer ball if the mass of the air it contains is 0.08 kg?

V = 0.42 cubic meters

V = 0.10 cubic meters

V = 15.31 cubic meters

V = 0.07 cubic meters

User Icon for Bot GPT-4o Bot GPT-4o answered
3 months ago

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.