How do you find the volume of a cylinder?  For example: A cylinder with

height 7cm and radius 2cm

h=7cm

r=2cm

In this lesson you will learn how to develop and apply the

formula for volume of a cylinder by using the concept

of stacking circles.

Let’s ReviewLet’s Review

B= 6cm2

h= 4cm

Volume = Base x height

V = Bh

=(6cm2)(4cm)

= 24 cm3

Let’s ReviewLet’s Review

B= 4cm2

h= 5cm

V = Bh

=(4cm2)(5cm)

= 20 cm3

Let’s ReviewLet’s Review

r=3cm

A = r2

=

= 9 cm3

Let’s ReviewCore Lesson

B = r2

h

Cylinder

Volume = Base x height

V = r2h

Let’s ReviewCore Lesson

h=7cm

r=2cmV = Bh

V = r2h

V = 2(7cm)

V = 28 cm3

Let’s ReviewA Common Mistake

V = Bh

V = rh

V = r2h

2(9cm)

V = 225 cm3

r=5cm

h=9cm

= 90cm

In this lesson you learned how to develop and apply the formula for volume of a

cylinder by using the concept of stacking circles.

Let’s ReviewGuided Practice

Find the volume of the cylinder.

r=2cm

h=4cm

V = Bh

V = r2h

V = 2(4cm)

V = 16 cm3

Let’s ReviewGuided Practice

Find the volume of the cylinder.

d=6cm

h=8cm

V = Bh

V = r2h

V = 2(8cm)

V = 72 cm3

d=6cm so

r=3cm

Let’s ReviewExtension Activities

Research Cavalieri’s Principle and explain how it can be used to derive the formula for

volume of a cylinder.

Let’s ReviewExtension Activities

Make two different cylinders out of two identical sheets of notebook paper, one by taping the

longer edges together and the other by taping the shorter edges.

Which looks to have greater volume?

Test your prediction by measuring and calculating the actual volume of each.

Let’s ReviewQuick Quiz

1. Find the volume of a cylinder with height 5cm and radius 1cm

2. Find the volume of a cylinder with height 10cm and radius 3cm