Volume Calculators & 3D Solvers
Calculate the exact volume of three-dimensional geometric bodies. Choose from our suite of specialized calculators for spheres, cylinders, cubes, cones, and hemispheres.
Select a Volume Calculator
Sphere Volume Calculator
Calculate the volume of a sphere from radius or diameter:
Open Calculator →
V = (4/3)πr³.Cube Volume Calculator
Calculate the volume of a regular cube from its edge length:
Open Calculator →
V = a³.Cylinder Volume Calculator
Find volume of circular cylinders from radius and height:
Open Calculator →
V = πr²h.Cone Volume Calculator
Compute volume of right circular cones:
Open Calculator →
V = (1/3)πr²h.Hemisphere Volume Calculator
Calculate the volume and area of half a sphere:
Open Calculator →
V = (2/3)πr³.Volume Unit Conversion Tool
Convert between cubic millimeters, centimeters, meters, inches, feet, Liters, and Gallons.
Open Converter →
3D Volume Formulas Comparison Table
| 3D Solid Shape | Volume Formula | Key Variables | Dedicated Calculator |
|---|---|---|---|
| Sphere | V = (4/3)πr³ |
r = radius | Sphere Volume |
| Cube | V = a³ |
a = side length | Cube Volume |
| Cylinder | V = πr²h |
r = radius, h = height | Cylinder Volume |
| Cone | V = (1/3)πr²h |
r = radius, h = height | Cone Volume |
| Hemisphere | V = (2/3)πr³ |
r = radius | Hemisphere Volume |
Frequently Asked Questions
What is the basic formula for volume of 3D shapes?
For uniform prisms and cylinders, volume is base area times height (V = Base × h). For pointed shapes like cones and pyramids, volume is one-third of the base area times height (V = 1/3 × Base × h). For spheres, V = (4/3)πr³.
Which 3D shape holds the most volume for a given surface area?
The sphere holds the maximum volume for any given surface area. This is why bubbles and raindrops naturally form spherical shapes in nature.
How do you convert cubic centimeters to liters?
Divide by 1,000. 1 Liter equals exactly 1,000 cm³.