Answer:
The density of the cylinder is 104.06 kg/m^3.
Step-by-step explanation:
To find the density of a cylinder, you can use the formula:
Density (ρ) = Mass (m) / Volume (V)
In this case, you have the mass (m) as 1 kg, but you need to calculate the volume (V) of the cylinder. The cylinder's volume can be calculated as follows:
First, find the radius (r) of the cylinder. The diameter (D) is given as 52.5 mm, so the radius is half of the diameter:
r = D / 2 = 52.5 mm / 2 = 26.25 mm = 0.02625 meters (converted from millimeters to meters)
Next, calculate the volume of the cylinder using the formula for the volume of a cylinder:
V = π * r^2 * h
where π (pi) is approximately 3.14159, r is the radius, and h is the height.
V = 3.14159 * (0.02625 meters)^2 * 0.0445 meters
V ≈ 3.14159 * 0.000688125 * 0.0445
V ≈ 0.009617895625 cubic meters
Now that you have the volume in cubic meters, you can calculate the density:
Density (ρ) = Mass (m) / Volume (V)
ρ = 1 kg / 0.009617895625 m^3
ρ ≈ 104.06 kg/m^3
So, the density of the cylinder is 104.06 kg/m^3.