Volume Calculator

What this tool does

Calculate volume instantly in your browser. All measurements in the same unit give volume in that unit cubed. Heights are perpendicular (vertical) heights, not slant heights.

How to use the Volume Calculator

1. Enter or select shape.
2. Enter or select side (cube).
3. Enter or select length (cuboid).
4. Enter or select width (cuboid).
5. Enter or select height (cuboid).
6. Enter or select radius (sphere / hemisphere).
7. Enter or select radius (cylinder).
8. Enter or select height (cylinder).
9. Enter or select radius (cone).
10. Enter or select height (cone).
11. Enter or select base side (square pyramid).
12. Enter or select height (square pyramid).
13. Enter or select top radius (frustum).
14. Enter or select bottom radius (frustum).
15. Enter or select height (frustum).
16. Read the calculated result; change any measurement to compare alternatives.

Formula

Cube s³; cuboid l×w×h; sphere (4/3)πr³; cylinder πr²h; cone (1/3)πr²h; square pyramid (1/3)s²h; hemisphere (2/3)πr³; frustum (1/3)πh(R² + Rr + r²).

shape

Shape

vSide

Side (cube)

vLength

Length (cuboid)

vWidth

Width (cuboid)

vCubH

Height (cuboid)

vRadius

Radius (sphere / hemisphere)

vCylR

Radius (cylinder)

vCylH

Height (cylinder)

vConeR

Radius (cone)

vConeH

Height (cone)

vPyrBase

Base side (square pyramid)

vPyrH

Height (square pyramid)

vTopR

Top radius (frustum)

vBotR

Bottom radius (frustum)

vFrustumH

Height (frustum)

All measurements in the same unit give volume in that unit cubed. Heights are perpendicular (vertical) heights, not slant heights.

Worked example

For volume calculator, the following measurements illustrate the exact method: Shape: cylinder; Side (cube): 5; Length (cuboid): 10; Width (cuboid): 6; Height (cuboid): 4; Radius (sphere / hemisphere): 5; Radius (cylinder): 4; Height (cylinder): 10; Radius (cone): 4; Height (cone): 9; Base side (square pyramid): 6; Height (square pyramid): 8; Top radius (frustum): 3; Bottom radius (frustum): 5; Height (frustum): 7.

Results explained

Volume

Volume from the formula above. All measurements in the same unit give volume in that unit cubed. Heights are perpendicular (vertical) heights, not slant heights.

Shape

Shape from the formula above. All measurements in the same unit give volume in that unit cubed. Heights are perpendicular (vertical) heights, not slant heights.

Frequently asked questions