A square sheet of side length 44 cm is rolled along one of its sides to form a cylinder by making opposite edges just to touch each other. What is the volume of the cylinder ? (Take π = 22/7)  

Formula used:

Perimeter = Base of cylinder = 2π × radius

Volume of cylinder = π(radius)² × h

Calculation:

When the square sheet is rolled along one of its sides 

The circumference of the base of the cylinder = Length of the side of the square sheet

Therefore, the circumference of the base of the cylinder = 44 cm

⇒ 2πr = 44

⇒ 2 × (22/7) × r = 44 

⇒ r = 7 cm

The height of the cylinder is equal to the length of the side of the square sheet, which is 44 cm.

Volume = π × radius² × height

⇒ V = (22/7) × 7² × 44

⇒ V = 22 × 7 × 44

⇒ V = 6776 cm³

Therefore, the volume of the cylinder is 6776 cm³.