Answer:
The density of the material is 10.9 g/cm³
Explanation:
The formula of density (D) is given by:
[tex]D=\frac{mass}{volume}[/tex]
You have to calculate the volumen of the cylinder, which is given by:
V = π r² h
where r is the radius and h is the height.
The formula can be written in therms of the diameter (d), using the fact that half the diameter is the radius:
V=π[tex](\frac{d}{2}) ^{2}[/tex]h
Calculating the volume:
V = π[tex](\frac{50.5}{2}) ^{2} (46.0)[/tex]
V = 92136.2 mm³
The volume in cm³ is: 92.1 cm³ (because 1000mm³=1cm³) and the mass in grams is: 1000g (because 1kg=1000g)
Calculating the density:
[tex]D=\frac{1000(g)}{92.1(cm^{3}) } = 10.9 g/cm^{3}[/tex]
