The mass of a lead ball with a radius of 0.50mm is 5.9714226× g
The density of a substance is defined as the mass of substance per unit of its volume. Density is represented by the symbol, ρ.
The formula for density is -
Density (ρ) = <u> mass (m) </u>
volume (v)
Given :
Density of lead = 11.4 g/cm³
Radius of lead ball = 0.50 mm = 0.05 cm
Since,
Vsphere = 4/3 π r³
v = <u>4 </u>× 3.14 × (0.05)³
3
v = 4.18 x (1.25 x 10⁻³)
v = 5.225 x 10⁻³
Since,
Density = <u> mass </u>
volume
11.4 g/cm³ = <u> mass </u>
5.225 x 10⁻³
mass = 11.4 x (5.225 x 10⁻³)
mass = 5.9565 x 10⁻² or 0.05955 g
So, the mass of a lead ball with a radius of 0.50mm is 5.9565 x 10⁻² g
To learn more about density,
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