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Volume of material of a Hollow Sphere (Spherical Shell)
V = (4/3)π(R³ − r³)
Where: R = outer radius, V = Volume of material, r = inner radius
Use the same units for all lengths (e.g. all in cm); areas come out in cm², volumes in cm³.
Solved example
Given: R = 7, r = 5
Find: V (Volume of material)
- Formula: V = 4·π·(R³ - r³)/3
- Substitute the values: V = 4·π·(-5³ + 7³)/3
- Result: V = 913.156265
Answer: V = 913.156265
Calculator
How to calculate Volume of material of a Hollow Sphere (Spherical Shell)
- Write down the formula: V = (4/3)π(R³ − r³).
- Note the known values (R, r).
- Substitute them and simplify to find V.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Volume of material of a Hollow Sphere (Spherical Shell)?
The formula is V = (4/3)π(R³ − r³), where R = outer radius, V = Volume of material, r = inner radius.
What is Volume of material of a Hollow Sphere (Spherical Shell) when R = 7, r = 5?
V = 913.156265. Substitute the values into V = (4/3)π(R³ − r³) and simplify.