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The mass of a solid cylinder can be calculated using the formula that incorporates the cylinder's density, height, and radius. This formula provides an accurate measurement of the mass based on the geometric properties and material density of the cylinder.
The calculator uses the following formula:
Where:
Explanation: The formula calculates the volume of the cylinder (π × R² × H) and multiplies it by the material density to obtain the mass.
Details: Accurate mass calculation is crucial for engineering applications, material estimation, structural design, and various scientific calculations where precise weight measurements are required.
Tips: Enter density in kg/m³, height in meters, and radius in meters. All values must be positive numbers greater than zero.
Q1: What units should I use for input values?
A: Use kg/m³ for density, meters for height, and meters for radius to get mass in kilograms.
Q2: Can I use different units for the calculation?
A: Yes, but you must ensure all units are consistent. The result will be in the corresponding mass unit based on your input units.
Q3: What is the typical density range for common materials?
A: Density varies widely - aluminum: ~2700 kg/m³, steel: ~7850 kg/m³, water: 1000 kg/m³, wood: 300-900 kg/m³.
Q4: Does this formula work for hollow cylinders?
A: No, this formula is specifically for solid cylinders. For hollow cylinders, you need to subtract the inner volume from the outer volume.
Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values. Accuracy depends on the precision of your measurements for density, height, and radius.