Spherical Cap Volume Calculator
Quickly calculate the volume of a sliced section of a sphere.
What is a Spherical Cap?
A portion of a sphere cut off by a plane.
A spherical cap is the region of a sphere which lies above (or below) a given flat plane. If the plane passes through the center of the sphere, the cap becomes a hemisphere.
How to Find the Volume of a Spherical Cap
You need the radius of the original sphere and the height of the cap.
Spherical Cap Volume Formula
The equation for a spherical cap.
Where 'h' is the height of the cap and 'R' is the radius of the original sphere.
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Frequently Asked Questions
What if I only know the radius of the cap's base, not the whole sphere?
You can use an alternative formula: V = (πh/6) × (3a² + h²), where 'a' is the radius of the flat base of the cap.
Is a hemisphere a type of spherical cap?
Yes, a hemisphere is a special case of a spherical cap where the height of the cap is exactly equal to the radius of the sphere.
What is a spherical sector?
A spherical sector is a cone shape connecting the center of the sphere to the cap. A cap is just the top 'slice' part.
Why is this formula useful?
It is highly useful for finding the volume of liquid in a spherical tank that is only partially full.