Volume Calculator

Calculate volume of cubes, spheres, cylinders, and cones

About Volume Calculator

A volume calculator finds the three-dimensional space occupied by a shape — cubes, spheres, cylinders, cones, and more. It's used for shipping and storage, construction materials, tank and container capacity, and science and engineering problems.

Formula

Cube: V = s³ | Sphere: V = (4/3)πr³ | Cylinder: V = πr²h | Cone: V = (1/3)πr²h

How It Works

Select the 3D shape you need
Enter its dimensions (side length, radius, height, etc.)
The calculator applies the matching volume formula
Result is shown in cubic units (cubic feet, cubic meters, liters, etc.)

Tips

Volume is always expressed in cubic units, since it measures three dimensions multiplied together
For a cylinder or cone, make sure you're using the radius, not the diameter, in the formula
1 cubic foot = 7.48 gallons — useful for converting construction or tank volumes to liquid capacity

Frequently Asked Questions

How do I calculate the volume of a cylinder?

Volume = π × radius² × height. A cylinder with radius 3 and height 10 has volume = π × 9 × 10 ≈ 282.74 cubic units.

How do I calculate the volume of a sphere?

Volume = (4/3) × π × radius³. A sphere with radius 4 has volume = (4/3) × π × 64 ≈ 268.08 cubic units.

What's the difference between volume and capacity?

Volume measures the total three-dimensional space a shape occupies; capacity typically refers to how much a container can hold (often in liquid measures like liters or gallons) — for most everyday purposes the two are used interchangeably.

How do I convert cubic feet to gallons?

Multiply cubic feet by 7.48 to get US gallons. For example, 10 cubic feet × 7.48 ≈ 74.8 gallons.

How do I calculate the volume of a cone?

Volume = (1/3) × π × radius² × height — exactly one-third the volume of a cylinder with the same base and height.