Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The radius of the base of a cylinder is 14 cm and its curved surface area is 880 cm2. Its volume (in cm3) is: (Тakе $π=\frac{22}{7}$)

Options:

3080

1078

6160

9240

Correct Answer:

6160

Explanation:

We know that,

The curved surface area of cylinder = 2πrh

The volume of cylinder = πr2h

We have,

Radius of cylinder = 14 cm

The curved surface area = 880 cm2

According to the question,

= 2πrh = 880

= 2 × \(\frac{22}{7}\) × 14 × h = 880

= h = 10 cm

Now, the volume of the cylinder = \(\frac{22}{7}\) × (14)2 × 10 = 6160 cm3