# A barometer is filled with a cylindrical column of mercury that is 76.0 cm high and 1.0 cm in diameter. If the density of mercury is 13.53 g/cm^3, what is the mass of mercury in the column?

Feb 15, 2016

Approx. $1$ $k g$.

#### Explanation:

We need to (i) find the volume of mercury; and (ii) convert this volume into a mass by use of the quoted density.

$\text{Volume of mercury}$ $=$ $76.0 \cdot c m \times \pi \times {\left(0.5 \cdot c m\right)}^{2}$ $=$ $59.7$ $c {m}^{3}$. (Here we work out the volume of the mercury cylinder.)

Now that we have the volume, it is a simple matter to find the mass by multiplying the volume by the density:

$59.7$ $\cancel{c {m}^{3}}$ $\times$ $13.53$ $g$ $\cancel{c {m}^{-} 3}$ $=$ ?? $g$