Question

A rectangular sheet of width $14$ m is rolled along its width and is converted to form a cylinder. Find the radius of cylinder.

• A. $\frac{22}{49}$
• B. $\frac{44}{29}$
• C. $\frac{49}{22}$
• D. None

Answer 1

The correct option is C $\frac{49}{22}$

Curved surface area of cylinder$=100m^2$

$\therefore 2\pi rh=100$

Here, width of the rectangle = height of the cylinder.

$\therefore h=14m$

$\therefore 2\times \frac{22}{7}\times r\times 14=100$

$\therefore r=\frac{100\times 7}{2\times 22\times 14}$