density calculation?

Question

density calculation?
a stone of mass 60g is lowered into a measuring cylinder causing the liquid level to rise from 15cm3 to 35cm3. calculate the density of the stone in g/cm3.


how do i work this out? i don't understand it

Answer 1

density=mass/volume
mass=60 g (given)
when it is submerged in a liquit it will displace a volume of the liquid equal to its own volume
liquid displaced=final reading minus initial reading of the measuring cylinder=35 cm^3-15cm^3=20 cm^3
now plug and chug
density=60g/20cm^3=3g/cc

Answer 2

First, you have to know the definition of density which is mass of a material in gram or kilogram over the volume it occpies in cubic center meter, normally. Mathematically we express the above definition as

Density = Mass / volume.

Looking at your problem, we already know the mass of the material which is 60 grams. Now we have to figure out the volume it occupied in space. By dropping the stone in a cylinder with water filled, you can find out the volume it occupy by measuring the water level on the cylinder before and after and subtract the "before" measurement from the "after" measurement to gain the volume. The marks on the cylinder are representing the amount of water in volume. Since the stone takes up space wether it is in air or water, it adds volume to water that is already in the cylinder so the difference is its volume. Now base on the information from the problem, we may compute volume of stone as such

Volume = 35cm^3 - 15cm^3 = 20cm^3, cm^3 means cubic centermeter.

Then, Density of the stone = 60 grams / 20 cm^3 = 3 grams per cm^3 which means for every cubic centermeter space the stone occupies, it has a mass of 3 grams.
.

Answer 3

D=m/v

the volume is 35cm3-15cm3 so 20 cm3 (or the amount the liquid level changed)

the mass is 60 g

so, 60 g/20cm3 = 3 g/cm3

Answer 4

Densitiy= mass/volume
the mass is 60g and the volume is 20cm3. 60/20=3 so the density is 3g/cm3 (20 grams per centimeter cubed.)