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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.

Respuesta :

krlosdark12

Answer:

m=77.1g

Step-by-step explanation:

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

[tex]V_f=\pi*r^2*l\\V_f=\pi*(\frac{1.75*10^{-3}m}{2})^2*100m\\V_f=2.41*10^{-4}m^3[/tex]

we need to convert m^3 to cm^3

[tex]V_f=2.41*10^{-4}m^3*(\frac{1000000cm^3}{1m^3})\\V_f=241cm^3[/tex]

The density is given by:

[tex]d=\frac{m}{v}\\m=d*m\\m=0.32g/cm^3*241g\\m=77.1g[/tex]