Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D/3D

Question:

A rectangular paper of width 8cm and length 22cm rolled along it width and a cylinder is formed.

On the above Intimation, Solve the question given below

The volume of cylinder is

Options:

98 cm3

49π cm3

49 cm3

98π cm3

Correct Answer:

98π cm3

Explanation:

The correct answer is Option 2: 98π cm3

  • Height of cylinder = width = 8 cm

  • Circumference of base = length = 22 cm

So,

2πr = 22

r = 22 / (2π)

Using π = 22/7:

r = 22 / (2 × 22/7)
r = 22 × 7 / 44
r = 3.5 cm

Step 2: Volume of cylinder

Volume = πr²h

= (22/7) × (3.5)² × 8

(3.5)² = 12.25

Volume = (22/7) × 12.25 × 8

= 308 cm³

Since 308=98×π308 = 98 × π308=98×π when expressed with π:

Volume = 98π cm³