Question

A cylindrical glass tube 12.7 cm in length is filled with mercury (density =13.6 g/mL). The mass of mercury needed to fill the tube is 105.5 g. Calculate the inner diameter of the tube (volume of a cylinder of radius r and length h is V=Ïr2h).

Answer 1

Answer:

The inner diameter of the tube is 0.4410 cm.

Explanation:

Height upto which mercury is filled = 12.7 cm

Mass of mercury = 105.5 g

Density of mercury = 13.6 g/mL =$13.6 g/cm^3$

Volume of mercury:

$\frac{Mass}{Density}=\frac{105.5 g}{13.6 g/cm^3}=7.7573 cm^3$

A mercury in cylindrical glass tube is at height of 12.7 cm.

The radius of the inner diameter of the glass tube = r

Volume of cylinder = $\pi r^2h$

$7.7573 cm^3=3.14\times r^2\times 12.7 cm$

r = 0.4410 cm.