SSC MTS 2024 PYQ — Question 14

SSC MTS - 14/10/2024 - (9:00 AM - 11:00 AM) • Quantitative Aptitude • Q14

If 2744 identical small spheres are made out of a big sphere of radius 7 cm, then what is the surface area of each small sphere?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e π cm2.

Volume is conserved: (7/r)3 = 2744 = 143 ⇒ r = 0.5 cm

Surface area of each small sphere = 4πr2 = 4π(0.5)2 = π cm²