LESSON TEMPLATE

Topic: Volume of a cone

Prepared by Akhila.S

Prepared by Akhila.s

LESSON TEMPLATE

Name of the Teacher : Akhila.S Standard : 9

Name of the School : S.N.V.H.S.S, Neunganda Division : C

Subject : Mathematics Strength :

Unit : Prisms Duration :

Sub unit : Volume of a cylinder Date :

Curricular objectives

To find volume of a cylinder.

To understand that volume of a cylinder with base radius r and length h is

πr2h . Formula= πr2h

Content Analysis

Term : Volume of a cylinder.

Concept : The idea behind the volume of cylinder

Symbol : Let V be the volume of the cylinder r be the radius of base and

the height of the cylinder of

Formula : V= πr2h

Principle : Volume of the cylinder equals the product of the radius square and

the height and the number π

Process : The method of developing volume of a cylinder.

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Learning Outcomes

The people will be able to

Recall the idea about cylinder.

Retrieve the idea volume of a cylinder

Relate the concept in new situation

Accept the beauty of mathematics

To perform geometrical skill

Pre- requisites

The pupil should know the concepts

About area of a circle

The volume of a square prism is product of area of the base

and height

Supporting materials

Models of a cylinder

Paper cuttings containing the questions of each group

Other usual classroom materials

Classroom Interaction Procedure Actual Response

Teacher starts the class with introductory conversations.

Teacher asks certain questions to check the previous

knowledge of the students. What are the bases of a

cylinder? How many lateral faces does it have?

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[There are two bases which are congruent and they have a

single lateral face which is curved.] (Recalls)

Activity1

Teacher divides the students into 5 groups and gives each

group a paper cutting containing the figure of cylinder and

asks to find the shape of the base face and find the area of

the base with radius r.

h

[Observes the model.]

Each group does the activity and teacher collects the result

of each group.

What is the shape of the base of cylinder?

[The shape of the base of cylinder is circle.](Recalls.)

How can we find The area of a circle?

[The area of a circle of radius r can be calculated by the

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formula A=πr2.](Recalls.)

Activity 2

Teacher asks each group what is the general formula for

volume of a prism.

Each group does the activity and teacher collects the result.

[Volume of a prism = Base area * height](Recalls)

Activity-3

Teacher asks each group to compare cylinder with regular

prisms and arrive at formula for finding the volume.

Each group does the activity with the help of the teacher

and teacher collects the results of each group.

Finally arrive at the formula.

Volume of a cylinder = Base area of circle*

Height of cylinder

Base area of a circle = πr2*h

Volume of a cylinder = πr2h[Identifies]

Teacher concludes that the volume of cylinder equals the

product of the radius square and the height and the number

π. [Identifies]

Teacher shows a chart containing the formula of volume of

a cylinder

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Volume of a cylinder

h

The volume of a cylinder with base radius r

and height h is = πr2h

[Observes chart.]

Review and Application

If the radius of the cylinder is 5c.m and height is

10c.m. Then find the volume of the cylinder?

What we have to find?

[volume of the cylinder][identifies]

What are the given things?

[ The radius of cylinder is 5c.m and height is

10c.m] [identifies]

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i.e. r = 5c.m h = 10c.m

What is the formula for finding volume of a cylinder?

[Volume of the cylinder r is the radius of base and a h be

the height of the cylinder. Then volume V= πr2h]

(identifies)

Volume of cylinder = πr2h

= π*52*10

= π*25*10

= 250π centimeter square.

(Identifies and estimates)

Follow up Activity

1. If the radius of the cylinder is 4c.m and height is 18c.m. Then find the volume of

the cylinder?

2. If the radius of the cylinder is 7c.m and height is 12c.m. Then find the volume of

the cylinder?

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