Question

Mercury has a density of 13.56 g/mL. How many kilograms of mercury would you
expect to fit in a cylindrical glass cup with a bottom radius of 5.75 inches and
a height of 0.950 ft?

Answer 1

We know that

~

1 feet = 30cm

1 inch =2.5cm

hence

Radius of Cylinder =5.75×2.5=14.605cm

Height of cylinder =0.950×30=28.956cm

$Volume\:of \:cylinder=2\pi r^{2}h$

$Volume =2×3.14×(14.605)^{2}×28.956 =38,788cm^{3}$

$Also\: given\: density \:of \:mercury =13.56 g/ cm^{3}$

$Density (\rho) = \frac{Mass }{Volume}$

$\rho =13.56=\frac{Mass}{38,788}$

$13.56×38788=Mass =5,25,970gms$

Mass = 525970gms or 526 kgms