Volume of a right circular
Cylinder
Aim
To give a suggestive demonstration of the formula for the
volume of a right circular cylinder in terms of its height and
radius of the base circle
Material Required
Origami sheets , pencil, eraser, pair of scissors, adhesive etc.
Pre-requisite knowledge
1. Formula for volume of a cuboid
2. Formula for circumference of a circle.
Procedure
1. Make a cylinder of any dimensions using plastic clay. Let its height be h and radius
of base circle r.
2. Cut the cylinder into 8 sectorial sections as shown in the figure. [Fig 14(a)].
3. Place the segments alternately as shown in the figure. [Fig 14(b)]
.
Observations
The students observe that
1. The segments approximately form a solid cuboid of height ‘h’, breadth ‘r’and
length ‘r’.
2. The volume of the cuboid is lbh = r × r × h = r 2h
Learning outcome
Students learn that the volume of a cylinder is r 2h where r is the radius of the base and h the height
of the cylinder
BY : INDERPREET
BY : INDERPREET