Given,
Dimensions of a rectangular sheet = 22 cm × 11 cm.
It is rolled along the shorter side to form a cylinder.
To find,
The curved surface area of the cylinder formed.
Solution,
This problem can be simply solved by following the below process.
It can be seen that when a rectangular sheet is rolled to form a cylinder, a hollow cylinder will be obtained and the curved surface area of this cylinder will be equal to that of the original rectangular sheet.
So, mathematically,
The curved surface area of the cylinder = the area of the rectangle
⇒ [tex](CSA)_{cyl}=A_{rect}[/tex]
Here, [tex]A_{rect}[/tex] can be determined as,
[tex]A_{rect}=22\times 11[/tex] cm²
⇒ [tex]A_{rect}=242[/tex] cm²
Since both areas will be the same. So,
[tex](CSA)_{cyl}=242 \hspace{3} cm^{2}[/tex].
Therefore, the curved surface area of the cylinder formed will be 242 cm².