Question

A solid object in the shape of a cylinder is shown below.

It has a diameter of 6 m and a height of 7 m.
If its mass is 15.3 kg, what is its density?
Use the value 3.14 for it.
Round your answer to the nearest hundredth. Do not round any intermediate steps.
Be sure to include the correct unit in your answer.
Density =

Answer 1

`0.08\ kg/m^3`

Explanation:

Density is defined as mass of an object divided by its volume.

#We calculate the volume of the cylinder:

`V=\pi r^2 h, r=D/2=6/2=3\ cm\\\\=3.14* 3^2* 7\\\\=197.82\ m^3`

Given the mass= 15.3kg and volume as above, we calculate density as:

`\rho=(Mass)/(Volume)\\\\=(15.3\ kg)/(197.82\ m^3)\\\\=0.0773\approx 0.08\ kg/m^3`

Hence, the solid's density is
`0.08\ kg/m^3`