What Is This Tool?
A volume calculator applies the right geometric formula to a shape's dimensions and returns how much three-dimensional space it occupies. A cylinder is π times radius squared times height; a sphere is 4/3 times π times radius cubed; a cube is side cubed; a rectangular box is length times width times height; a cone is one-third of π times radius squared times height. Mixing up radius and diameter, or forgetting the 1/3 in the cone formula, are the most common hand-calculation mistakes.
Volume shows up constantly outside of math class: how many liters a water tank or aquarium holds, how much concrete a cylindrical or rectangular slab needs, how much a shipping box can carry, or how much material a cone-shaped pile contains. This tool covers the five shapes that come up most often in those situations, specifically the cylinder — for example, silindirin hacmi (the volume of a cylinder) is one of the most common single-shape volume questions people search for.
Why Use It?
- Five shapes in one tool: cylinder, sphere, cube, rectangular box and cone.
- Switch instantly between cubic meters (m³), cubic centimeters (cm³) and cubic feet (ft³).
- Results update live as you type — no button to press.
- Handles decimals, so measurements like 3.45 m or 12.5 ft work fine.
- Free and private — the calculation runs entirely in your browser.
How to Use
- Pick the shape tab that matches what you're measuring.
- Enter the required dimensions — for example radius and height for a cylinder, or length, width and height for a box.
- Read the volume, shown instantly and updated as you adjust the numbers.
- Switch units between m³, cm³ and ft³ if you need a different measurement system.
Example
Input
Cylindrical water tank, 0.5 m radius and 1.2 m heightOutput
0.94 m³ (about 942 liters)Volume = π × radius² × height = π × 0.5² × 1.2 ≈ 0.94 m³. Multiply by 1,000 to convert cubic meters to liters.
Volume formulas at a glance
| Shape | Formula | Needs |
|---|---|---|
| Cylinder | π × radius² × height | radius, height |
| Sphere | (4/3) × π × radius³ | radius |
| Cube | side³ | side |
| Rectangular box | length × width × height | length, width, height |
| Cone | (1/3) × π × radius² × height | radius, height |
Related tools
For converting the resulting volume to a different measurement system, calculating a flat area, or other everyday calculations, these tools pair well with the volume calculator.
Frequently Asked Questions
How do I calculate the volume of a cylinder?
Volume = π × radius² × height. A cylinder with a 0.5 m radius and a 1.2 m height has a volume of π × 0.5² × 1.2 ≈ 0.94 m³. Be careful not to plug the diameter directly into the formula — divide it by 2 first to get the radius.
How do I calculate the volume of a sphere?
Volume = (4/3) × π × radius³. A sphere with a 3-meter radius has a volume of (4/3) × π × 3³ ≈ 113.1 m³.
How do I calculate the volume of a cube or rectangular box?
For a cube, volume = side³ (side × side × side). For a rectangular box, volume = length × width × height. A box 2 m long, 1.5 m wide and 1 m tall holds 2 × 1.5 × 1 = 3 m³.
How do I calculate the volume of a cone?
Volume = (1/3) × π × radius² × height, exactly one-third of a cylinder with the same base and height. A cone with a 1 m radius and a 3 m height has a volume of (1/3) × π × 1² × 3 ≈ 3.14 m³.
How can this help with tanks, packaging or concrete?
Water tanks, aquariums and cylindrical drums use the cylinder formula; shipping boxes and storage containers use length × width × height; a cone-shaped pile of sand or gravel uses the cone formula. Calculate the volume in cubic meters, then multiply by 1,000 to get liters, or use the ft³ unit directly for imperial-based material orders.
Is my data stored anywhere?
No. The calculation runs entirely in your browser with JavaScript; nothing you enter is sent to a server, stored or logged.