Volume Calculator for 8 Solids, in Litres Too

Choose a solid, enter its measurements and pick a unit. You get the volume, the capacity in litres, a diagram and the steps.

Volume

1,539.3804cm³

Capacity in litres
1.5394 L
Volume in m³
0.001539 m³

1 litre = 1,000 cm³ and 1 m³ = 1,000 litres.

Show working
  1. V = πr²h
  2. V = π × 7² × 10 = 1,539.3804 cm³

How to use

  1. Choose the solid.
  2. Enter the measurements and choose a length unit.
  3. Read the volume and capacity; open "Show working" for the steps.

Good to know

Formulas: cube a³, cuboid l × b × h, cylinder πr²h, cone ⅓πr²h, sphere ⁴⁄₃πr³, hemisphere ⅔πr³, pyramid ⅓ × base area × h (rectangular base here) and prism base area × height. These come from the NCERT Class 8–10 "Surface Areas and Volumes" chapters.

Volume is shown in your unit cubed and converted to litres (1,000 cm³ = 1 litre, 1 m³ = 1,000 litres). This is useful for water tanks, buckets, cylinders and boxes.

For tanks, use the inside measurements: wall thickness reduces the real capacity. For the prism, enter the area of its cross-section (any shape) and its height or length.

Questions

How many litres are in 1 cubic metre?

1,000 litres. And 1 litre = 1,000 cm³.

How do I find the capacity of a cylindrical water tank?

Choose cylinder, enter the inner radius and height. The capacity in litres is shown below the volume.

Why is a cone one third of a cylinder?

A cone with the same base and height as a cylinder holds exactly one third of it, which is why V = ⅓πr²h.

What is the volume of a hemisphere?

Half of a sphere: ⅔πr³.

Is anything I enter stored?

No. The calculation runs in your browser and nothing is sent to a server.

Last updated: