Question

The lateral surface area of a hollow cylinder is $4,224c{m}^2$. It is cut along its height and formed a rectangular sheet of width $33cm$. Find the perimeter of the rectangular sheet.

Answer 1

Given:
The lateral surface area of hollow cylinder $=4224c{m}^2$.
The width of rectangular sheet $\left(b\right)=33cm$.

Let the length of rectangular sheet be $l$.
According to the given condition,
lateral surface area of cylinder = Area of rectangular sheet
$4224=l\times b$
$l=\frac{4224}{33}cm$
$l=128cm$

Now, perimeter of rectangular sheet $=2\times (l+b)$
$=2\times (128+33)cm$
$=322cm$
Hence, the perimeter of rectangular sheet is $322cm$.