A rectangular sheet of paper which is 88cm long and 11cm wide is rolled to from a cylinder of height equal to its width of the paper. What is volume of the cylinder so formed?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 6776 cm3
Given :
Length of rectangle = 88 cm
Height of rectangle = 11 cm
Formula used :
Circumference of circle = ----- (1)
Volume of cylinder = ----- (2)
Calculations :
Length of rectangle = Circumference of circle
Using equation (1), we get
⇒ 2πr = 88
⇒ 2 × (22/7) × r = 88
⇒ r = 14
Using equation (2), we get
Volume of cylinder = πr2h
⇒ (22/7) × 14 × 14 × 11
⇒ 22 × 2 × 14 × 11
⇒ 6776 cm3
| Understanding | Application |
| Tricks |
After rolling the perimeter of base 2πr = 88 r = 14 |
| Now |
The volume of the cylinder ⇒ πr2h = 22/7 × 14 × 14 × 11 = 6776 |