Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

What is the height of a cylinder whose radius of base is 12 cm and volume is 19008 cm3 ? [Use π = $\frac{22}{7}$]

Options:

6 cm

24 cm

38 cm

42 cm

Correct Answer:

42 cm

Explanation:

We know that,

Volume of a cylinder = πr2h

Radius = 12 cm

Volume = 19008 cm3

\(\frac{22}{7}\) × 122 × h = 19008

= \(\frac{22}{7}\) × 144 × h = 19008

= h = 19008 × \(\frac{7}{3168}\)

= h = 42