Question

A rectangular sheet of paper $36$ cm $\times$ $22$ cm , is rolled along its length to form a cylinder. Then the volume of cylinder so formed is

• A. $2268c{m}^3$
• B. $226.8c{m}^3$
• C. $226c{m}^3$
• D. $23.4c{m}^3$

Answer 1

Answer: (A)

$2268c{m}^3$

Height of cylinder $=$ Width of sheet $=BC=22$ cm
Circumference of top $=$ $2\pi r$ $=$ Length of sheet $=AB=36$ cm
$\Rightarrow r=\frac{36}{2\pi }$
Now, volume $=$ $\pi r^{2}h$
$=\pi \times {\left(\frac{36}{2\pi }\right)}^2\times 22$
$=\frac{36\times 36\times 7\times 22}{4\times 22}=2268c{m}^3$
Hence, the volume of the cylinder is $2,268c{m}^3$