Volume of a Cylinder

 

Volume of a Cylinder

Objective
To get the formula for the volume of a right circular cylinder in terms of its height and base radius experimentally.

Prerequisite Knowledge

1. Circumference of circle
2. Volume of cuboid

Materials Required
Plastic clay, cutter, thermocol.

Procedure

1. Make a cylinder of plastic clay of height say ‘h’ and base ‘A circle of radius r.
   
2. Cut the cylinder into 8 equal sectoral section with the help of cutter.
   
3. Place the sectoral segments alternatively to form a solid cuboid.
   

Observation

1. Combine cut out form a cuboid of height h and breadth r, i.e., height of cuboid = height of cylinder;
   breadth of cuboid = radius of cylinder.
2. The length of the cuboid =  of the circumference of base of cylinder.
3. Volume of cuboid = Volume of cylinder.
   V = l x b x h =  x 2πr x r x h = πr2h

Result
Thus the volume of cylinder is πr2h.