Find Volume, SF & Uncertainty of Iron Sphere

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SUMMARY

The discussion focuses on calculating the volume and uncertainties associated with an iron sphere with a height and diameter of 2.3 cm (±0.05 cm) and a mass of 66.69 g (±0.01 g). The volume is determined using the formula for the volume of a sphere, V = (4/3)πr³, where the radius is derived from the diameter. The absolute and relative uncertainties are calculated based on the measurements provided, ensuring proper significant figures are maintained throughout the calculations.

PREREQUISITES
  • Understanding of geometric formulas, specifically the volume of a sphere.
  • Knowledge of significant figures and how to apply them in calculations.
  • Familiarity with uncertainty propagation techniques in measurements.
  • Basic skills in handling measurements and their associated uncertainties.
NEXT STEPS
  • Learn about uncertainty propagation in physical measurements.
  • Study the calculation of volume for different geometric shapes.
  • Explore significant figures rules in scientific calculations.
  • Investigate the impact of measurement uncertainty on experimental results.
USEFUL FOR

Students in physics or engineering, educators teaching measurement and uncertainty, and anyone involved in experimental design and data analysis.

helpmepls1231
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A copper cylinder has a mass of 56.09g with an uncertainty of +/- 0.01g, how do I find the absolute uncertainty and the relative uncertainty?

An iron sphere has measurements:
Height = 2.3cm +/- 0.05
Diameter = 2.3cm +/- 0.05
Mass = 66.69g +/- 0.01

Find the volume with the correct unit, amount of significant figures and uncertainty
 
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