Question

The cylinder of aluminum in class was approximately 13mm in circumference and 42mm in length. What would be it's approximate mass?

Answer 1

Mass, m = 1.51 grams

Step-by-step explanation:

It is given that,

The circumference of Aluminium cylinder, C = 13 mm = 1.3 cm

Length of the cylinder, h = 4.2 cm

We know that the density of the Aluminium is 2.7 g/cm³

Circumference, C = 2πr

`r=(C)/(2\pi)\\\\r=(1.3)/(2\pi)\\\\r=0.206\ cm`

Density is equal to mass per unit volume.

`d=(m)/(V)`

m is mass of the cylinder

V is the volume of the cylinder

`V=\pi r^2h\\\\V=(22)/(7)*0.206^2* 4.2\\\\V=0.5601\ cm^3`

So,

`m=d* V\\\\m=2.7* 0.5601\\\\m=1.51\ g`

So, the mass of the cylinder is 1.51 grams.