Name: Introduction to Area of a Cylinder
Uploaded: 2019-07-19
Duration: 5 min 14 s
Description: There are two areas related to a cylinder, the curved surface area and the total surface area. Let's learn how to calculate the surface area of a cylinder in...

Question

Find the length and breadth of a cardboard required to roll and make a cylinder (hollow without top and bottom) of radius $14 cm$ and height $40 cm$ .

Accepted Answer

We are asked to find the length and breadth of cardboard required to roll and make a cylinder (hollow without top and bottom) of radius $14 cm$ and height $40 cm$ .

From the net of the cylinder, we know that the lateral surface of the cylinder when cut open, forms a rectangle. To find the length and breadth of the cardboard, let us first find the lateral surface area of the cylinder.

Curved surface area of cylinder $= 2 π r h$

$= 2 \times \frac{22}{7} \times 14 \times 40 {cm}^{2} = 3520 {cm}^{2}$

So, the area of the rectangular cardboard $= 3520 {cm}^{2}$

We know that the length of the cardboard will be the circumference of the base of the cylinder and the breadth will be the height of the cylinder.

Length of the cardboard $=$ circumference of the base of the cylinder $= 2 πr = 2 \times \frac{22}{7} \times 14 cm = 88 cm$

Breadth of the cardboard $=$ height of the cylinder $= 40 cm$

Length	Breadth	Height	CSA	TSA	Volume
$10$	$2$	$4$	-	-	-
$1$	$1$	$2$	-	-	-
-	$4$	$8$	$80$	-	$32$
$5$	-	$2$	-	$62$	$30$
$10$	$10$	-	-	-	$200$

Find the length and breadth of a cardboard required to roll and make a cylinder (hollow without top and bottom) of radius $14 cm$ and height $40 cm$ .

Important Questions on Surface Area and Volume

Learn and Prepare for any exam you want !

Find the length and breadth of a cardboard required to roll and make a cylinder (hollow without top and bottom) of radius 14 cm and height 40 cm.

Important Questions on Surface Area and Volume

Learn and Prepare for any exam you want !

Find the length and breadth of a cardboard required to roll and make a cylinder (hollow without top and bottom) of radius $14 cm$ and height $40 cm$ .