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What would be the final answer of the density of cylinder that is 1 kg if the height is 44.5 mm and the diameter is 52.5 mm . Give answer in kg/m^3

User Jedt
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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.

User Anisoptera
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