Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The base of a right circular cylinder has the same radius 21cm as that of a sphere. Both have the same volume, then the height of the cylinder is

Options:

21

25

28

35

Correct Answer:

28

Explanation:

Volume of cylinder = Volume of  sphere

⇒ \(\pi \) r² h = \(\frac{4}{3}\) \(\pi \) r³

⇒ \(\pi \) (21)² h = \(\frac{4}{3}\) \(\pi \) (21)³

⇒ h = \(\frac{4}{3}\) × 21 = 28 cm