Question

A rectangular sheet of paper 44 cm × 18 cm is rolled along its length and a cylinder is formed. The volume of the cylinder is:
1. 2700 cm³
2. 2727 cm3
3. 2772 cm3
4. 792 cm3

Answer 1

Correct Answer - Option 3 : 2772 cm3

Given:

Dimension = l × b = 44 cm × 18 cm

Concept used:

When paper is rolled along the length of the rectangle, then, the length will be the circumference of the circular base of the cylinder formed and the breadth of the rectangle will be the height of the cylinder.

Calculation:

Circumference = 2πr = 44 cm

Then, r = 44/2π = 7 cm

Height = 18 cm

Volume of cylinder = πr²h = 22 × 7 × 7 × 18/7 = 2772 cm³

∴ Volume is 2772 cm³.