a stone of mass 30 grams is placed in a measuring cylinder containing some water. the reading of the water level increases from 50cm cubic to 60cm cubic. what is the density of te stone?
density=massstone/changeinvolume
30/10=3
To find the density of the stone, we need to use the formula:
Density = Mass / Volume
First, we convert the mass of the stone from grams to kilograms, as the SI unit for mass is kilograms. 1 gram is equal to 0.001 kilograms. So, the mass of the stone is 30 grams * 0.001 kg/g = 0.03 kg.
Next, we calculate the change in the volume of the water. The stone is placed in a measuring cylinder, causing the water level to increase from 50 cm³ to 60 cm³. As the stone occupies some space in the cylinder, we consider the change in volume (ΔV) to be the difference between the final volume and the initial volume:
ΔV = Final Volume - Initial Volume
ΔV = 60 cm³ - 50 cm³
ΔV = 10 cm³
Now, we convert the change in volume from cubic centimeters to cubic meters. 1 cubic centimeter is equal to 0.000001 cubic meters. So, the change in volume is 10 cm³ * 0.000001 m³/cm³ = 0.00001 m³.
Finally, we can calculate the density by dividing the mass of the stone by the change in volume:
Density = Mass / Volume
Density = 0.03 kg / 0.00001 m³
Density = 3000 kg/m³
Therefore, the density of the stone is 3000 kilograms per cubic meter.