A rectangular paper of width 8 cm and length 22 cm is rolled along its width and a cylinder is formed.
On the above information, solve the question given below
The volume of the cylinder is
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(98\pi\) cm3
When the sheet is rolled along its width, the 22 cm length bends into the circle of the cylinder and the 8 cm width becomes its height. The radius comes from the circumference, and then the volume is \(\pi r^2h\).
\(2\pi r=22\), so \(\displaystyle r=\frac{22}{2\times\frac{22}{7}}=\frac{7}{2}\) cm
Volume \(\displaystyle =\pi\times\left(\frac{7}{2}\right)^2\times8=\pi\times\frac{49}{4}\times8=98\pi\) cm3