The mass of the copper cylinder is 177065.856g
Given:
Radius of the copper cylinder R=12cm
Height of the copper cylinder H=44cm
Density of the cylinder=8.90 [tex]\frac{g}{c m^{3}}[/tex]
To find:
Mass of the copper cylinder
Step by Step by explanation:
Solution:
According to the formula, Mass can be calculated as
[tex]\rho=\frac{m}{v}[/tex] and from this
[tex]m=\rho \times v[/tex]
Where, m=mass of the cylinder
[tex]\rho[/tex] =density of the cylinder
v=volume of the cylinder
And also cylinder is provided with radius and height value.
So volume of the cylinder is calculated as
[tex]v=\pi r^{2} h[/tex]
Where [tex]\pi[/tex]=3.14
r=radius of the cylinder=12cm
h=height of the cylinder=44cm
Thus, [tex]v=3.14 \times 12^{2} \times 44[/tex]
v=3.14 \times 144 \times 44
[tex]v=19895.04 \mathrm{cm}^{3}[/tex]
And we know that, [tex]m=\rho \times v[/tex]
Substitute the known values in the above equation we get
[tex]m=8.90 \times 19895.04[/tex]
m=177065.856g or 177.065kg
Result:
Thus the mass of the copper cylinder is 177065.856g
