Calculate the volume of standard 3D solids including spheres, cylinders, cones, rectangular prisms, cubes, capsules, pyramids, ellipsoids, and triangular prisms with unit conversions and exact π outputs.
Four-thirds π multiplied by radius cubed.
Total outer surface enclosing the sphere.
Volume is the measure of the three-dimensional space enclosed by a boundary or occupied by an object. The basic SI unit of volume is the cubic meter (m³), with liters (L) commonly used for fluid capacities.
Two solids of equal height have equal volumes if their cross-sections made by planes at equal distances from the base always have equal areas.
Understanding your calculation
Volume measures three-dimensional space. Choose the correct solid and apply its formula with all lengths in compatible units.
A rectangular solid 2 m by 3 m by 4 m has volume 24 m³. A cylinder uses π × radius² × height.
Radius and diameter differ by a factor of two. Hollow spaces, irregular shapes and external versus internal dimensions can change usable volume.