What is the Volume to Surface Area Ratio of a Sphere?

Thread starter scupydog
Start date Jan 17, 2009
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Geometry Spherical Spherical geometry

AI Thread Summary

The volume to surface area ratio of a sphere can be calculated using the formulas for volume, V = (4/3)πr^3, and surface area, A = 4πr^2. The ratio V/A simplifies to r/3, indicating that the ratio depends on the radius of the sphere. The discussion highlights a common confusion in calculating this ratio, but the solution is straightforward once the formulas are applied. Understanding this ratio is essential for various applications in geometry and physics. The conversation emphasizes the simplicity of the calculation once the correct approach is recognized.

Jan 17, 2009

scupydog

hi all could anyone tell me the ratio of the volume of a shere to the surface area of the same sphere, i can't seem to sort this one out in my head, thx

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Jan 17, 2009

Dick

Science Advisor

Homework Helper

V=(4/3)*pi*r^3, A=4*pi*r^2. What's so hard about finding V/A?

Jan 17, 2009

scupydog

oh yeah doh, thanks dick

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