Calculating Copper Volume for Hollow Spherical Shell

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SUMMARY

The discussion focuses on calculating the mass of copper required to create a hollow spherical shell with an inner radius of 5.70 cm and an outer radius of 5.75 cm, using the density of copper at 8.92 g/cm³. The volume of the hollow shell is determined by subtracting the volume of the inner sphere from the volume of the outer sphere. The formula for the volume of a sphere, V = (4/3)πr³, is essential for this calculation. The final mass of copper can be computed by multiplying the volume of the shell by the density of copper.

PREREQUISITES
  • Understanding of the volume formula for spheres: V = (4/3)πr³
  • Basic knowledge of density and its calculation: mass = density × volume
  • Familiarity with the concept of hollow objects in geometry
  • Ability to perform arithmetic operations with decimals and π
NEXT STEPS
  • Calculate the volume of a hollow sphere using the provided inner and outer radii
  • Explore the properties of density and its applications in material science
  • Learn about geometric shapes and their volume calculations in three-dimensional space
  • Investigate real-world applications of hollow spherical shells in engineering and design
USEFUL FOR

This discussion is beneficial for students in physics or engineering, educators teaching geometry, and anyone interested in material properties and calculations related to hollow structures.

babysnatcher
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How many grams of copper are required to make a hollow spherical shell having an inner radius of 5.70 cm and an outer radius of 5.75 cm? The density of copper is 8.92 g/cm^3.

Ok, so, how do I find the height? Or solve the problem without the height?
 
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It's a hollow sphere, and you are given the inner and outer radii.

What height are you talking about?
 
babysnatcher said:
How many grams of copper are required to make a hollow spherical shell having an inner radius of 5.70 cm and an outer radius of 5.75 cm? The density of copper is 8.92 g/cm^3.

Ok, so, how do I find the height? Or solve the problem without the height?

Height?

It's a sphere. It's symmetric. If you are given a radius, that gives you the distance from centre to edge in ANY direction.

Do you know the equation for the volume of a sphere? (I edited this post)
 
Last edited:
Oh, my bad xD! When I saw shell, I immediately thought cylinder.
 

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