SSC Selection Post 2024 PYQ — Question 52

The correct answer is Option 4 i.e. 9 : 4.

Volume of sphere(V) = $4\over3$πr³

here, r = radius

$V_1\over V_2$ = ${{4\over3}\pi r_1^3}\over{{4\over3}\pi r_2^3}$ = $({r_1\over r_2})^3$

⇒ $({r_1\over r_2})^3$ = $27\over8$

⇒ ${r_1\over r_2}$ = $3\over2$

Surface area ratio = (${r_1\over r_2}$)² = ($3\over2$)² = $9\over4$ = 9 : 4