Volume of Cylinder
- Cylinder is the three-dimensional geometrical object which is having two circular bases with fixed radius which are joined by a curved surface as shown in figure.
- The line joining the centers of two circular bases is called as the axis of cylinder.
- And the perpendicular distance between these two centers of circular bases of cylinder is the height of the cylinder as shown in figure.
- The space occupied by the cylinder is called as the volume of the cylinder.
Derivation for Volume of Cylinder:
- Let us consider the cylinder with two circular bases having radius r and height h as shown in figure.
- We know that the volume of any object is the product of base area and height of the object.
- Here the base of cylinder is circular and the height of the cylinder is h.
- Thus, the volume of cylinder is given by,
Volume of cylinder = base area*height of cylinder
But, the base of cylinder is circular and having radius r,
Hence, area of base = πr2
Now, volume of cylinder = base area * height = πr2*h
Thus, the volume of cylinder of base radius r and height h is given by,
Volume of cylinder = πr2*h (Hence proved.)