A small rock with a mass of 6g is dropped into a graduated cylinder with 20ml of water. The water rises to 23ml. What is the density of the rock?
6g/3ml = ?
To find the density of the rock, we need to use the formula:
Density = Mass / Volume
First, let's convert the mass of the rock to kilograms since the SI unit for mass is kilograms. We divide the mass by 1000:
Mass = 6g / 1000 = 0.006 kg
Next, let's calculate the volume of the rock. The volume of the rock can be determined by the change in volume of water in the graduated cylinder.
Volume = Final Volume - Initial Volume
Final Volume = 23ml
Initial Volume = 20ml
Volume = 23ml - 20ml = 3ml
However, we need to convert the volume from milliliters to cubic meters since the SI unit for volume is cubic meters. We divide the volume by 1000000:
Volume = 3ml / 1000000 = 0.000003 m^3
Now, we can substitute the values for mass and volume into the density formula:
Density = 0.006 kg / 0.000003 m^3 = 2000 kg/m^3
Therefore, the density of the rock is 2000 kg/m^3.