Calculating Volume of Earth Using Radius 6.37x10^6m and Correct Sig Figs

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SUMMARY

The volume of the Earth, calculated using a radius of 6.37 x 106 meters, is determined to be approximately 1.08 x 1021 cubic meters. This calculation employs the formula for the volume of a sphere, V = 4/3πr3, where π is approximated as 3.14. The result is expressed with the correct significant figures based on the precision of the radius provided.

PREREQUISITES
  • Understanding of the formula for the volume of a sphere (V = 4/3πr3)
  • Knowledge of significant figures in scientific calculations
  • Basic familiarity with mathematical operations involving exponents
  • Ability to perform calculations with large numbers in scientific notation
NEXT STEPS
  • Study the concept of significant figures in depth
  • Learn more about the mathematical properties of exponents
  • Explore the implications of volume calculations in geophysics
  • Investigate the use of different approximations for π in calculations
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Students in mathematics or physics, educators teaching volume calculations, and professionals in geosciences or engineering involved in Earth measurements.

mrserv0n
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The radius of the Earth is 6.37X10^6 meters. Determine the volume of the Earth to the correct number of sig figures.

to find the volume I used 4/3 (3.14)(6.37x10^6)^3
3.14(2.58x10^20) = 8.10x10^20
4/3 or 1.33(8.10x10^20) =

1.08x10^21m^3 ?
 
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okay, why would you doubt your result?
 

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