Answer: the density of air in the ball is 1.19 kg/m^3
Explanation:
V = (4/3)πr^3
where r is the radius of the ball. We know that the diameter of the ball is 0.2 meters, so the radius is 0.1 meters. Substituting this value into the formula, we get:
V = (4/3)π(0.1)^3
= 0.00419 cubic meters
calculate the mass of air in the ball by subtracting the mass of the deflated ball from the mass of the inflated ball:
m_air = m_inflated - m_deflated
= 0.643 kg - 0.638 kg
= 0.005 kg
calculate the density of air in the ball using the formula:
ρ = m_air/V
ρ = 0.005 kg / 0.00419 m^3
= 1.19 kg/m^3