Question

A technician fills a tank with a liquid to a height of 0.20 m. The tank is cylindrical with radius 0.10 m. The mass of the liquid is 1.0 kg. What is the density of the liquid in 160 kg/m3?

160
120
1100
180
50

Answer 1

`160 kg/m^3`

Step-by-step explanation:

The density of the liquid is given by:

`d=(m)/(V)`

where

m is the mass of the liquid

V is its volume

The mass of the liquid is

m = 1.0 kg

while the volume is the volume of a cylinder with height h=0.20 m and radius r=0.10 m:

`V=\pi r^2 h = \pi (0.10 m)^2 (0.20 m)=6.28\cdot 10^(-3) m^3`

So, the density is

`d=(1.0 kg)/(6.28\cdot 10^(-3) m^3)=159.2 kg/m^3 \sim 160 kg/m^3`