Respuesta :
Answer:
Total mass in kg will be 596.96 kg
Explanation:
We have given height of the cylinders h = 12 cm
Radius r = 11.6 cm
Volume of the cylinders [tex]V=\pi r^2h=3.14\times 11.6^2\times 12=5070.22cm^3[/tex]
Density [tex]d=8.41g/cm^3[/tex]
We know that mass = density × volume
So mass m [tex]=5070.22\times 8.41=42640.556gram =42.640kg[/tex]
There are 14 such cylinders so total mass [tex]m=14\times 42.64=596.96 kg[/tex]
The amount of mass required for 14 cylinders is 586967.84 g.
How do you calculate the mass?
Given that height of the cylinder is 12 cm and the radius is 11.6 cm. The density of the powder is 8.41 g/cm3 and the number of cylinders required is 14.
The volume of the cylinder is calculated as given below.
[tex]V = \pi r^2h[/tex]
Where V is the volume of the cylinder, h is the height and r is the radius of the cylinder.
[tex]V = 3.14 \times 11.6^2\times 12[/tex]
[tex]V = 5070.22 \;\rm cm^3[/tex]
The mass of one cylinder is calculated as below.
[tex]m = V\times d[/tex]
Here m is the mass of the cylinder and d is the density.
[tex]m = 5070.22\times 8.41[/tex]
[tex]m = 42640.56\;\rm g[/tex]
For the 14 cylinders, the mass will be,
[tex]m = 14 \times 42640.56[/tex]
[tex]m = 596967.84\;\rm g[/tex]
Hence the amount of mass required for 14 cylinders is 586967.84 g.
To know more about the mass and volume, follow the link given below.
https://brainly.com/question/952755.
