SSC CHSL 2024 PYQ — Question 56

The correct answer is option 3 i.e.11498$\frac{2}{3}$ cm³.

Given that

Surface area of a sphere = 2464 cm²

The surface area of the sphere = 4πR²

Volume of sphere = $\frac{4}{3}$πR³

According to the question

4πR² = 2464

⇒ R² = 616 × 7/22

Solving for R we get R = 14 cm

Now volume = $\frac{4}{3}$πR^{3 =} $\frac{4}{3}$π × 14 × 14 × 14 

Solving we get 

Volume = 11498.67 cm³ =  11498$\frac{2}{3}cm^3$