Question

A square sheet, whose side is 88 cm, is rolled into a cylinder along one of its sides. What is the volume of the cylinder?
(Take $\pi =\frac{22}{7}$)

• A. ${\text{94,864 cm}}^3$
• B. ${\text{54,208 cm}}^3$
• C. ${\text{27,104 cm}}^3$
• D. ${\text{13,522 cm}}^3$

Answer 1

The correct option is B ${\text{54,208 cm}}^3$


Given,
Side of square = 88 cm
⇒ height of cylinder = 88 cm
The side of the square is the circumference of the circular base of the cylinder.
Hence,
$2\pi r=882\times \frac{22}{7}\times r=88r=\frac{7\times 88}{22\times 2}=14\mathrm{cm}$

So, the volume of the cylinder is,
$\pi r^{2}h=\frac{22}{7}\times 14\times 14\times 88=44\times 14\times 88=54208{\mathrm{cm}}^3$