Page 161 - NUMINO TG_6A
P. 161
Activity 3 Volumes of Cylinders
jOb ective Learn how to find the volume of a cylinder using the volume of a prism.
1. Textbook Instructions Activity 3 Volumes of Cylinders
Ask students to look at the rectangular prism The following shows how the volume of a cylinder is related to the volume of a rectangular prism.
and the cylinder. Have them discuss what
they think is different about the two figures Learn how to find the volume of a cylinder using the volume of a prism.
and what is the same.
Find the volume of the rectangular prism.
Have students find the volume of the Volume = (area of base) (height)
rectangular prism by filling in the missing
values. Have them multiply the length times = (length) (width) (height)
the width times the height. Next, have
students use the alternative way to find the = 10 \ 5 \ 4
volume of a cylinder by answering to the given
questions. 4cm 5cm = 200
Imagine that the cylinder is divided in half 10cm Therefore, the volume of the
and is cut into many pieces.
Imagine these pieces are spread out and rectangular prism is 200 (cm3).
form a rectangular prism. The base of the
cylinder becomes the base of the prism. You can find the volume of a cylinder using the following method.
Calculate the volume of the rectangular
prism: l w h 4cm
This is the same as the volume of the
cylinder: r r h 10cm 10cm
4cm
(4 2 3.14 1 ) cm
2
The length would be half the circumference of the circle.
What shape is made when a cylinder is cut into many pieces?
A rectangular prism
Does the base of a cylinder become the base of a rectangular prism? Yes
Find the volume of the rectangular prism.
(4 2 3.14 1 ) 4 10 502.4 (cm3)
2
What is the volume of the cylinder?
4 4 3.14 10 502.4 (cm3)
88
2. Build Understanding
In this activity, have students recognize that both figures are three-dimensional, one with rectangles as the
base and top, the other with circles as the base and top. The volume of a cylinder is related to the volume of
a rectangular prism because the length of the rectangular prism is equal to half the circumference of the
cylinder.
Explain to students that the diagram of the rectangular prism is an approximate visualization. They can only
use this method if the circumference, diameter, or radius of the cylinder is known.
144 NUMINO Teacher s Guide
jOb ective Learn how to find the volume of a cylinder using the volume of a prism.
1. Textbook Instructions Activity 3 Volumes of Cylinders
Ask students to look at the rectangular prism The following shows how the volume of a cylinder is related to the volume of a rectangular prism.
and the cylinder. Have them discuss what
they think is different about the two figures Learn how to find the volume of a cylinder using the volume of a prism.
and what is the same.
Find the volume of the rectangular prism.
Have students find the volume of the Volume = (area of base) (height)
rectangular prism by filling in the missing
values. Have them multiply the length times = (length) (width) (height)
the width times the height. Next, have
students use the alternative way to find the = 10 \ 5 \ 4
volume of a cylinder by answering to the given
questions. 4cm 5cm = 200
Imagine that the cylinder is divided in half 10cm Therefore, the volume of the
and is cut into many pieces.
Imagine these pieces are spread out and rectangular prism is 200 (cm3).
form a rectangular prism. The base of the
cylinder becomes the base of the prism. You can find the volume of a cylinder using the following method.
Calculate the volume of the rectangular
prism: l w h 4cm
This is the same as the volume of the
cylinder: r r h 10cm 10cm
4cm
(4 2 3.14 1 ) cm
2
The length would be half the circumference of the circle.
What shape is made when a cylinder is cut into many pieces?
A rectangular prism
Does the base of a cylinder become the base of a rectangular prism? Yes
Find the volume of the rectangular prism.
(4 2 3.14 1 ) 4 10 502.4 (cm3)
2
What is the volume of the cylinder?
4 4 3.14 10 502.4 (cm3)
88
2. Build Understanding
In this activity, have students recognize that both figures are three-dimensional, one with rectangles as the
base and top, the other with circles as the base and top. The volume of a cylinder is related to the volume of
a rectangular prism because the length of the rectangular prism is equal to half the circumference of the
cylinder.
Explain to students that the diagram of the rectangular prism is an approximate visualization. They can only
use this method if the circumference, diameter, or radius of the cylinder is known.
144 NUMINO Teacher s Guide
