Volume Calculator
How much fits inside? Five standard solids with exact formulas — pick a shape, enter dimensions, read the volume live.
How to use
- Choose the solid from the dropdown.
- Fill in the edge, radius or height fields that appear.
- The volume updates instantly as you type.
Frequently asked questions
Which solids are supported?
Five: cube (a³), cuboid (length × width × height), sphere (4/3 πr³), cylinder (πr²h) and cone (πr²h/3). All formulas use exact π internally.
How many balls of radius 5 cm fit in a box? Can this help?
Yes as a first step: compute the sphere volume and the box volume with the cuboid option, then divide. The real answer is lower because spheres leave packing gaps — even in the tightest arrangement about 26% of space stays empty.
Why is the cone’s volume exactly a third of a cylinder’s?
A cone with the same base radius and height fills exactly one third of the cylinder that contains it — a result you can verify with water and three cone pours. The formula reflects it: πr²h/3.
What happens if I double every dimension?
Volume scales by 2³ = 8 — not by 2. This cube-law is why small mammals lose heat faster than large ones and why shipping costs jump so quickly with box size.
Are liters and cubic units handled?
The calculator returns volume in whatever cubed unit you entered (cm³, m³, in³…). To convert to liters or gallons afterwards, use the Volume Converter — 1 m³ is exactly 1000 L.