Frequently Asked Questions
How does doubling the radius change a sphere?
Doubling the radius multiplies the surface area by four and the volume by eight, because area scales with the square and volume with the cube of the radius.
What if I only have the diameter?
Halve the diameter to get the radius first, then enter that value, since both formulas are based on the radius.
How do I find the volume and surface area of a sphere?
From the radius r, the volume is V = (4/3) x pi x r^3 and the surface area is A = 4 x pi x r^2. Volume comes out in cubic units and surface area in square units, based on whatever unit you used for the radius.
How does a sphere's volume compare to its cylinder?
A sphere's volume is exactly two thirds of the smallest cylinder that encloses it (same radius, height equal to the diameter). This 2:3 ratio is Archimedes' theorem, which he considered his finest result.
What is the surface area of a sphere from its diameter?
Using the diameter d, the surface area is A = πd², since A = 4πr² and r = d/2. For the volume from diameter, V = (1/6)πd³.
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This calculator provides estimates for informational purposes only. Results are based on assumptions and may not reflect actual outcomes. Consult qualified professionals in relevant fields before making important decisions based on these results.