The sum of the radius of spheres A and B is 14 cm, the radius of A being larger than that of B. The difference between their surface areas is 112π. What is the ratio of the volumes of A and B?

Answer: Option B

Let
Radius of A = R
Radius of B = r
R + r = 14 cm
4π(R² - r²) = 112π
(R - r)( R + r) = 28
14(R - r) = 28
R - r = 2
R = 8
r = 6
V → R³ : r³ = 4³ : 3³ = 64 : 27