Answer :
Final answer:
The density of the material is found by first calculating the volume of the cylinder using the formula volume = πr²h, then using the density formula, density = mass/volume. The calculated density is 12353.57 kg/m³.
Explanation:
The density of an object can be calculated using the formula density = mass/volume. Therefore, in this case, you need to find the volume of the cylinder first.
The volume of a cylinder can be found using the formula volume = πr²h, where r is the radius of the cylinder and h is the height. In this case, the radius of the cylinder is half the diameter, so r equals 47.0 mm / 2 = 23.5 mm (which is 0.0235 meters), and h is 46.5 mm, which is 0.0465 meters.
The volume of the cylinder hence equals π(0.0235 m)²(0.0465 m) = 0.00008094 m³.
Using the formula for density, the density of the material the weight is made from equals 1 kg / 0.00008094 m³ = 12353.57 kg/m³.
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