Question

A liquid of mass 10 kg is enclosed in a cylinder of radius 1 m and length 5 m, what is the density of liquid? a) 0.63 kg/m3 b) 0.44 kg/m3 c) 0.54 kg/m3 d) 0.83 kg/m3

Answer 1

a)
`0.63(kg)/(m^(3))`

Step-by-step explanation:

Density is given by the expression
`d=(m)/(V)`, where m is the mass of the substance and V is the volume occupied by the substance.

As the problem says that the liquid is enclosed in a cylinder, you should find the volume of that cylinder that will be the same volume of the liquid, so:

For a cylinder the volume is given by V=
`2\pi r^(2)h`

Replacing the values given, we have:

`V=2\pi (1m)^(2)(5m)`

`V=15.708m^(3)`

Replacing the values of m and V in the equation of density, we have:

`d=(10kg)/(15.708m^(3))`

`d=0.63(kg)/(m^(3))`