**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 = πr^{2}

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Now, volume of cylinder = base area * height = πr^{2}*h

Thus, the volume of cylinder of base radius r and height h is given by,

**Volume of cylinder = πr ^{2}*h** (Hence proved.)