38. A body having a mass 0.1 kg was weighed suspended in water and its mass was noted to be 88.5 gram. What will be the volume of the body? [Assume density of water to be 1.00 g/ cm3]
To determine the volume of the body, we need to use the formula:
Volume = Mass / Density
Given information:
Mass of the body = 0.1 kg
Mass of the body in water = 88.5 g
Density of water = 1.00 g/cm³
First, let's convert the mass of the body in water to kilograms:
Mass of the body in water = 88.5 g = 88.5 / 1000 kg = 0.0885 kg
Next, we can calculate the volume of the body:
Volume = Mass / Density
Volume = 0.0885 kg / 1.00 g/cm³
Since the density of water is given in g/cm³, we need to convert the units so they match:
1 kg = 1000 g and 1 m³ = 1000000 cm³
Volume = (0.0885 kg) / (1.00 g/cm³ * 1000 g/1 kg)
Volume = 0.0885 kg / 1000 cm³
Volume = 0.0000885 m³
The volume of the body is 0.0000885 m³ or you can also express it as 88.5 cm³.