A rectangular piece of paper is 52 cm long and 22 cm wide. If a cylinder is formed by rolling the paper along its breadth, then the volume of the cylinder is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 2002 cm3.
When a cylinder is formed by rolling the paper along its breadth then, the circumference of the circle is equal to the breadth of the rectangle
Circumference of a circle = 2πr
here, r = radius
⇒ 22 = 2πr
⇒ 22 = 2 × 22/7 × r
⇒ r = 7/2
Now, the volume of the cylinder = πr2h
here, r = radius of cylinder and h = height of cylinder = length of rectangle
Volume = 22/7 × 7/2 × 7/2 × 52
⇒ 11 × 7 × 26
⇒ 77 × 26 = 2002 cm3