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Homework Statement
The diameter of some celestial body is 2280 km. What is the volume of this body?
Homework Equations
how do i figure out this problem
How Can I Calculate the Volume of a Celestial Body with a Given Diameter?
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SUMMARY
The volume of a celestial body with a diameter of 2280 km can be calculated using the formula V = (4/3) * π * r³, where r is the radius. Given that the radius is half the diameter, r equals 1140 km. Substituting this value into the volume formula yields a volume of approximately 4,771,000,000 km³ for the celestial body.
PREREQUISITES- Understanding of basic geometry, specifically the properties of spheres.
- Familiarity with the mathematical constant π (pi).
- Ability to perform calculations involving exponents and multiplication.
- Knowledge of volume formulas for three-dimensional shapes.
- Study the derivation of the volume formula for spheres.
- Explore applications of volume calculations in astronomy.
- Learn about the significance of celestial body measurements in astrophysics.
- Investigate other volume formulas for different geometric shapes.
Students studying geometry, astronomy enthusiasts, and anyone interested in calculating the physical properties of celestial bodies.
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