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Area of a Circle

An iron cylin...

Question

An iron cylinder of radius $1.4 c m$ and length $8 c m$ is found to weigh $369.6 g$ . Calculate the density of iron.

7500 k g / m^{3}

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7500 g / c m^{3}

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7500 k g / c m^{3}

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None of the above

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Solution

The correct option is D $7500 k g / m^{3}$
Density is defined as mass per unit volume.
mass $= 369.6 g$ or $0.3696 k g$
volume of cylinder = $π r^{2} h$ ,where $r = 1.4 c m$ or $0.014 m$ , $h = 8 c m$ or $0.08 m$
volume = $4.92 \times 10^{- 5} m^{3}$
$d e n s i t y = \frac{m a s s}{v o l u m e} = 7506 k g / m^{3}$

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