How do you calculate the volume of a 3D shape?

Volume measures 3D space occupied by an object. For a rectangular box, V = length × width × height. For a cylinder, V = π × radius² × height. For a sphere, V = (4/3) × π × radius³.

What is the SI unit for volume?

The official SI unit of volume is the cubic meter (m³). Commonly used metric sub-units include the liter (1,000 L = 1 m³) and cubic centimeter (cm³).

How do you calculate liquid volume in a horizontal cylindrical tank?

Use the circular segment formula: V = [r² arccos((r-d)/r) - (r-d)√(2rd - d²)] × L, where r is radius, d is liquid depth, and L is tank length.

Curved ShapesNo Pre-filled Data

Spherical Cap / Dome Volume Calculator

Calculate volume of architectural domes, shallow bowls, dishes, and spherical cutoffs. Enter your measurements below to calculate instant, accurate volume in gallons, liters, cubic feet, or cubic meters.

Enter Dimensions

Measure your spherical cap / dome and select units for each measurement

rBase Radiussymbol: r

hCap Heightsymbol: h

Dimension reference guide for Spherical Cap / Dome

Calculated Volume

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Total Surface Area:—

How to Calculate Spherical Cap / Dome Volume

Understand the mathematical formula and measurement method

Standard Volume FormulaV = \frac{\pi h}{6}(3r^2 + h^2)

Where r = base radius, h = cap height. Alternatively, with sphere radius R: V = (πh²/3)(3R - h).

Calculation Steps

1Measure base radius (r) of the circular cutoff flat base and height (h) of the cap.
2Substitute into the spherical cap equation: V = (π × h / 6) × (3r² + h²).

Practical Everyday Uses for Spherical Cap / Dome

Where this 3D calculation is applied in construction, shipping, and daily projects

Observatory & Stadium Domes

Calculate indoor air capacity and HVAC requirements for domed structures.

Kitchen Bowls & Ladles

Determine liquid capacity for circular hemispherical or shallow bowls.

Frequently Asked Questions

Common measurement questions for spherical cap / dome volume

What is a spherical cap?▼

A spherical cap is the portion of a sphere cut off by a flat plane. If h = R, it is a hemisphere.

Explore Other 3D Volume Calculators

Quick links to other shapes in our mathematical suite

View All 16 →

Cube Rectangular Prism / Box Cylinder Sphere Cone Capsule Spherical Cap / Dome Conical Frustum (Truncated Cone)