The cast iron ball has a mass of 4.2 kg with a volume of 700 cm3. Determine if this ball has a cavity inside.
September 27, 2021 | education
| m = 4.2 kg.
V = 700 cm ^ 3 = 0.0007 m ^ 3
ρ = 7000 kg / m ^ 3.
Vп -?
According to the definition, the density of a substance ρ is the ratio of its mass m to its volume V: ρ = m / V.
Let us express the volume of the sphere from the formula: V = m / ρ.
We find the density of cast iron ρ from the table of the density of substances ρ = 7000 kg / m ^ 3.
V1 = 4.2 kg / 7000 kg / m ^ 3 = 0.0006 m ^ 3.
Since V1 <V, it means that there is a void in the ball.
The volume of the void is found by the formula: Vp = V – V1.
Vp = 0.0007 m ^ 3 – 0.0006 m ^ 3 = 0.0001 m ^ 3.
Answer: the ball has a void with a volume of Vp = 0.0001 m ^ 3.
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