Volume Calculator
Calculate the volume of spheres, cones, cubes, cylinders, and more with our free online calculator.
Calculated Volume
cubic units
๐ Formula
๐ Conversions
*Assuming input units are meters
Sphere Volume
A sphere is a perfectly round geometrical 3D object. The volume of a sphere is the amount of space occupied within it. It is defined centrally by its radius (the distance from the center to the surface).
Formula: V = โดโโฯrยณ
Cylinder Volume
A cylinder is a 3D solid that holds two parallel bases joined by a curved surface, at a fixed distance. The volume is calculated by multiplying the area of the circular base by the height.
Formula: V = ฯrยฒh
Cone Volume
A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (usually circular) to a point called the apex or vertex. Its volume is exactly one-third of a cylinder with the same base and height.
Formula: V = โ ฯrยฒh
Cube Volume
A cube is a regular polyhedron with 6 equal square faces. Since all edges are equal in length, calculation is simple: just cube the length of any edge.
Formula: V = aยณ
Rectangular Tank
Also known as a rectangular prism or cuboid. It is a convex polyhedron bounded by six quadrilateral faces. The volume is found by multiplying its length, width, and height.
Formula: V = l ร w ร h
Capsule Volume
A capsule consists of a cylinder with hemispherical ends. To calculate the volume, you combine the volume of the cylinder part with the volume of the two hemispheres (which make a whole sphere).
Formula: V = ฯrยฒ(โดโโr + a)
Spherical Cap
A spherical cap is a portion of a sphere cut off by a plane. It's like the top slicing of a ball. The volume calculation involves the height of the cap and the radius of the sphere.
Formula: V = โ ฯhยฒ(3R - h)
Conical Frustum
A frustum is the portion of a cone that lies between two parallel planes cutting it. Think of it as a cone with the tip cut off. The volume depends on the top radius, bottom radius, and height.
Formula: V = โ ฯh(rโยฒ + rโยฒ + rโrโ)
Ellipsoid Volume
An ellipsoid is a surface that may be obtained from a sphere by deforming it by means of directional scalings. It has three semi-axes: a, b, and c. It looks like a stretched sphere (e.g., a rugby ball).
Formula: V = โดโโฯabc
Square Pyramid
A square pyramid is a pyramid having a square base. Its volume is one-third of the product of the base area and the perpendicular height.
Formula: V = aยฒ(h/3)
Tube Volume
A tube (or hollow cylinder) volume is the volume of metal or material that makes up the tube. It is calculated by subtracting the volume of the inner cylinder (hole) from the outer cylinder.
Formula: V = ฯl(Rยฒ - rยฒ)