Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The curved surface area of a sphere is 5,544 cm², then its volume is -

Options:

38,808 cm³

32,656 cm³

12,568 cm³

11,498.66 cm³³

Correct Answer:

38,808 cm³

Explanation:

Curved surface area of a sphere = 4\(\pi \)r2

⇒ 5,544 = 4 × \(\frac{22}{7}\) × r²

⇒ r= 21 cm

⇒ Volume = \(\frac{4}{3}\) \(\pi \)r3

             = \(\frac{4}{3}\) × \(\frac{22}{7}\) × 21 × 21 × 21 = 38,808 cm3