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Spherical Cap Calculator

Calculate the volume and curved surface area of a spherical cap from the sphere radius and cap height.

Cap volume
435.6342units³
Curved surface area
251.3274

Formula: V = (π × h² / 3) × (3r − h)

About Spherical Cap Calculator

Spherical Cap Calculator is a free online calculator that gives you an instant, accurate result as you type. Calculate the volume and curved surface area of a spherical cap from the sphere radius and cap height.

The calculation uses the standard formula V = (π × h² / 3) × (3r − h) and updates live with every change to the inputs. Everything runs client-side in your browser — fast, private, and free to use as often as you like.

A spherical cap is the piece of a sphere cut off by a plane — the shape of a contact lens or a dome roof.

Frequently Asked Questions

Is Spherical Cap Calculator free to use?

Yes. Spherical Cap Calculator is completely free, with no sign-up, no downloads, and no usage limits. You can use it as many times as you like on any device with a web browser.

How accurate is this calculator?

The calculator applies the standard formula (V = (π × h² / 3) × (3r − h)) with full floating-point precision and rounds only the displayed result. For most practical purposes the results are exact.