SSC CHSL 2023 PYQ — Question 73

SSC CHSL - 09 Aug 2023 - Shift 1 • Quantitative Aptitude • Q73

The volume of a solid sphere is 4500 π cm3. The surface area of the solid sphere is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 900 π cm2.

The volume of a sphere (V) = (4/3)πr3, where r is the radius of the sphere

(4/3)πr3 = 4500π

⇒ r3 = 3375

⇒ r = ³√3375 = 15

The surface area = 4πr2 = 4π(152) = 900π cm2

Therefore, the surface area of the solid sphere is 900π cm2.