Question

The mass of a coin is measured to be 12.5±0.1 g. The diameter is 2.8±0.1 cm and the thickness 2.1 ±0.1 mm. Calculate the average density of the material from which the coin is made with its uncertainty. Give your answer in kg m-³.

with proper explanation
answer only if u know or else u know the consequences
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Answer 1

The average density of the material from which the coin is made is 9.67 g/cm³.

Volume of the coin

The volume of the coin at the given diameter is calculated as follows;

V = Ah

where;

• A is area of the coin
• h is the thickness of the coin

V = πd²/4 x h

V = π(2.8)²/4  x (0.21 cm)

V = 1.293 cm³

average density of the coin

The average density of the material from which the coin is made is calculated as follows;

density = mass/volume

density = 12.5 g / (1.293 cm³)

density = 9.67 g/cm³

Thus, the average density of the material from which the coin is made is 9.67 g/cm³.

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