Question

40 cc of water was present in a Eureka can. When a stone was immersed in the can, 25cc
of water was collected in a measuring cylinder kept just at the mouth of the can. If the mass
of the stone is 337.5 g, Calculate the density in SI and CGS units.

Answer 1

Given info : 40 cc of water was present in a Eureka can. When a stone was immersed in the can, 25cc of water was collected in a measuring cylinder kept just at the mouth of the can.

To find : if the mass of the stone is 337.5 g, the density of the stone in SI and CGS units are...

solution : according to Archimedes principle,

the volume of the object is equal to volume of displaced fluid.

so, volume of stone = volume of water in the measuring cylinder kept just at the mouth of the can

= 25 ml

now, density of stone = mass of stone/volume of stone

= 337.5/25

= 13.5 g/cm³

we know, 1 g/cm³ = 1000 kg/m³

so, density of stone in SI unit = 13.5 × 10³ kg/m³