Answer :
To solve these problems, we'll use the provided formulas of mass and volume and calculations. The substance is most likely to be Gold.
1. Mass of the cylinder:
The volume of a cylinder is given by the formula: V = πr^2h
V = π(3.80 cm)^2 × 22.0 cm
V ≈ 64.53 cm^3
Mass (m) = Volume (V) × Density (D)
m = 64.53 cm^3 × 19.3 g/cm^3 ≈ 1246.62 g
Therefore, the mass of the cylinder is approximately 1246.62 grams. None of the provided options matches this value.
2. Density of a cube:
Density (D) is defined as the mass (m) divided by the volume (V): D = m/V
Volume of a cube is given by: V = L × W × H
Density (D) = 153 g / 42.88 cm^3 ≈ 3.57 g/cm^3Therefore, the density of the cube is approximately 3.57 g/cm^3. None of the provided options matches this value.
3. Density of an object:
Converting mass to grams: 4350 mg = 4.35 g
Density (D) = 4.35 g / 2.68 cm^3 ≈ 1.62 g/cm^3
Therefore, the density of the object is approximately 1.62 g/cm^3. None of the provided options matches this value.
4. Identifying the substance based on density:
- Lead: Density ≈ 11.3 g/cm^3
- Iron: Density ≈ 7.87 g/cm^3
- Aluminum: Density ≈ 2.70 g/cm^3
- Gold: Density ≈ 19.3 g/cm^3
- Copper: Density ≈ 8.96 g/cm^3
Among the provided options, the substance most likely to be based on the known density values is Gold, as its density closely matches the given value of 18.3 g/cm^3.
So, the substance is most likely to be Gold.
Learn more about volume here:
brainly.com/question/14197390
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