Question

4. A certain 3D printer uses 100 m of plastic filament that is 1.75 mm in diameter to make a cup. If the filament has a density of 0.32 g/cm3, find the mass of the cup to the tenths place.

Answer 1

m=77.1g

Explanation:

First of all we need to calculate the volume of the filament.

`V_f=\pi*r^2*l\\V_f=\pi*((1.75*10^(-3)m)/(2))^2*100m\\V_f=2.41*10^(-4)m^3`

we need to convert m^3 to cm^3

`V_f=2.41*10^(-4)m^3*((1000000cm^3)/(1m^3))\\V_f=241cm^3`

The density is given by:

`d=(m)/(v)\\m=d*m\\m=0.32g/cm^3*241g\\m=77.1g`