Answer:
37.96 mL
Explanation:
From the question given above, the following data were obtained:
Density (D) of iron = 7.87 g/cm³
Mass (m) of iron = 14.5 g
Volume of Cylinder + Iron = 39.8 mL
Volume of Cylinder =?
Next, we shall determine the volume of the chunk of iron. This can be obtained as follow:
Density (D) of iron = 7.87 g/cm³
Mass (m) of iron = 14.5 g
Volume (V) of iron =?
D = m/V
7.87 = 14.5 /V
Cross multiply
7.87 × V = 14.5
Divide both side by 7.87
V = 14.5 / 7.87
V = 1.84 cm³
Recall:
1 cm³ = 1 mL
Therefore,
1.84 cm³ = 1.84 mL
Therefore, the volume of the chunk of iron is 1.84 mL.
Finally, we shall determine the starting volume of the cylinder as follow:
Volume of Cylinder + Iron = 39.8 mL
Volume of Iron = 1.84 mL.
Volume of Cylinder =?
Volume of Cylinder = (Volume of Cylinder + Iron) – Volume of Iron
Volume of Cylinder = 39.8 – 1.84
Volume of Cylinder = 37.96 mL
Therefore the starting volume of cylinder is 37.96 mL
