Hemisphere Volume Calculator

Calculate the volume of a hemisphere using radius. Free online calculator for domes, spherical caps, and bowls with instant unit conversion.

Hemisphere Calculator

Calculate the volume and surface area of a hemisphere by entering its radius.

Radius

Unit

Common Examples

Small Dome

Radius: 3 ft

Volume: 56.55 ft³

Used for: Architectural dome

Display Dome

Radius: 1 m

Volume: 2.09 m³

Used for: Display cover

Bowl

Radius: 6 in

Volume: 452.39 in³

Used for: Container design

How to Calculate Hemisphere Volume

A hemisphere is half of a sphere, created by cutting a sphere in half along a plane through its center. Its volume is half that of a sphere, calculated using the formula: V = (2/3)πr³

Volume = (2/3) × π × radius³

Important Measurements

Curved Surface Area = 2πr²
Flat Surface Area (base) = πr²
Total Surface Area = 3πr²
Base Circumference = 2πr
Height (from base to top) = r

Applications

Architectural domes and structures
Container and bowl design
Display covers and enclosures
Storage tank design
Decorative elements

Tips for Accurate Measurement

Measure radius from center of base to edge
Verify height equals radius for perfect hemisphere
Check base is perfectly circular
Use consistent units throughout

About this Calculator