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Question

What is the mass of a cylinder of lead that is 2.50 cm in diameter and 5.50 cm long? The density of lead is 11.4 g/ml.


A

206.50 g

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B

307.57 g

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C

268.57 g

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D

150.23 g

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Solution

The correct option is B

307.57 g


We know that, Density = massvolume
where: m = mass of material
V = volume of material
Note that the volume of a cylinder is given by
V=πr2×h
where: r = radius
h = height
Substituting the values, we get:
V=3.14×[(2.502)2]×5.50V=26.98cm3As,D=MV
Note that ml is equivalent to cm3.
Thus,
11.4=m26.98m=11.4×26.98m=307.57g


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