Question

An iron ball having a mass of 28 g is added to a graduated cylinder containing 45 ml of water. The water level rises to 49 ml mark. From this information, calculate the density of iron in CGS and SI unit.

Answer 1

Given :  An iron ball having a mass of 28 g is added to a graduated cylinder containing 45 ml of water. The water level rises to 49 ml mark.

To Find :  density of iron in CGS and SI unit.

Solution:

Water level raised because of iron ball = 49 - 45  = 4 ml

Hence Volume of iron  ball = 4ml  = 4 cm³

mass of iron ball = 28 g

Density = mass / volume

=> density  =   28 / 4  =  7 g/cm³

Density in CGS unit =  7 g/cm³

1 g = 1 kg /1000

1 cm =  1 m /100    => 1 cm³ = 1 m³ /100³

Hence Density in  SI unit =  (7/1000) /( 1/ 100³)

= 7000 kg/m³

Density in SI unit =  7000 kg/m³

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