Volume FormulaThe following are some volume formulas used to calculate the volume of different three-dimension geometrical shapes: solid cylinder, hollow cylinder, prism, cone, pyramid, and sphere.
Volume of CylinderA cylinder is a solid that has two parallel faces which are congruent circles. These faces form the bases of the cylinder. The cylinder has one curved surface. The height of the cylinder is the perpendicular distance between the two bases.
The volume of a cylinder is given by the formula:
Volume = Area of base × height V =
Volume of hollow cylinderSometimes you may be required to calculate the volume of a hollow cylinder or tube.
Volume of hollow cylinder
Volume of PrismA prism is a solid that has two parallel faces which are congruent polygons at both ends. These faces form the bases of the prism. A prism is named after the shape of its base. The other faces are in the shape of rectangles. They are called lateral faces. Example :
When we cut a prism parallel to the base, we get a cross section of a prism. The cross section has the same size and shape as the base.
Example : The volume of a right prism is given by the formula:
Volume of prism = Area of base × length V = Al where A is the area of the base and l is the length or height of the prism.
Volume of ConeA cone is a solid with a circular base. It has a curved surface which tapers (i.e. decreases in size) to a vertex at the top. The height of the cone is the perpendicular distance from the base to the vertex.
The volume of a cone is given by the formula:
Volume of cone = V =
Volume of PyramidA pyramid is a solid with a polygonal base and several triangular lateral faces. The pyramid is named after the shape of its base. For example, rectangular pyramid, triangular pyramid. The lateral faces meet at a common vertex. The height of the pyramid is the perpendicular distance from the base to the vertex. Example :
The volume of a pyramid is given by the formula: Volume of pyramid = V =
Volume of SphereA sphere is a solid in which all the points on the round surface are equidistant from a fixed point, known as the centre of the sphere. The distance from the centre to the surface is the radius.
Volume of sphere =
A hemisphere is half a sphere, with one flat circular face and one bowl-shaped face. Volume of hemisphere
VideosThe following videos will show examples of how the volume formulas can be used. Volume of CubeHow to find the volume of a cube?The formula for the volume of a cube is s × s × s = s3, where s is the length of a side of the cube.
Volume of Rectangular Prism or CuboidHow to find the volume of a rectangular prism?
Volume of CylinderHow to find the volume of a cylinder, given that the radius is 9 amd the height is 12.
Volume of Triangular PrismHow to find the volume of a triangular prism. Shows how to determine which is the base and the height of the triangular prism.
Volume of ConeHow to find the volume of a cone, given that the radius is 12 and the height is 16?
Volume of PyramidHow to find the volume of a pyramid? Make sure that you use the vertical height to substitute into the formula and not the slant height.
Volume of SphereHow to find the volume of a sphere? What is the volume of air in the ball? Volume of a HemisphereHow to find the volume of a hemisphere? What is the volume of water in a bowl?
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r2h where r = radius of cylinder and h is the height or length of cylinder. 
where R is the radius of the outer surface and r is the radius of the inner surface. 
Area of base × height 
where r is the radius of the base and h is the height of the prism. 
where A is the area of the base and h is the height of the pyramid. 
where r is the radius. 
where r is the radius