Question

An empty graduated cylinder has a mass of 50 g the cylinder has a mass of 120 g when 30 mL of water is poured in if a rock is added to the graduated cylinder then water level rises to 75 mL in the mass is now 250 g determine the density of the rock

Answer 1

We will have the following:

We are given:

*Mass empty graduated cylinder: 50g

*Mass of the cylinder has a mass of 120g when Volume of water = 30mL.

*Volume to 75 mL when rock is added and the mass is 250g.

First, we will have that the mass of the rock wilk be give by:

$m_{rock}=250g-120g\Rightarrow m_{rock}=130g$

Now, we determine the volume it occupies:

$V=75mL-30mL\Rightarrow V=45mL$

Now, we determine the density of the rock as follows:

$\rho_{rock}=\frac{130g}{45mL}\Rightarrow\rho_{rock}=\frac{26}{9}g/mL$

So, the density of the rock is exactly 26/9 g/mL.