Question

A square plate of side $44$ cm is made into a cylinder by joining two edges of it. Find the base area of the cylinder formed (in $c{m}^2$)

• A. $77$
• B. $154$
• C. $38.5$
• D. $308$

Answer 1

The correct option is B $154$

When the square of side $44$ cm is folded to make a cylinder, then the circumference of the base of the cylinder will be $44$ cm.
$\Rightarrow 2\times \pi \times$ radius $=44$
$\Rightarrow$ radius of the cylinder $=\frac{44\times 7}{2\times 22}=7$ cm
So, area of the base of the cylinder $=\pi \times ($radius${)}^2=\frac{22}{7}\times 7\times 7=154$ sq.cm.