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?
A. 125 : 64
B. 64 : 27
C. 27 : 8
D. 8 : 1
Answer: Option B
Solution (By Examveda Team)
LetRadius 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
This Question Belongs to Arithmetic Ability >> Mensuration 3D
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A sphere and a hemisphere have the same volume. The ratio of their curved surface area is:
A. $${2^{\frac{3}{2}}}:1$$
B. $${2^{\frac{2}{3}}}:1$$
C. $${4^{\frac{2}{3}}}:1$$
D. $${2^{\frac{1}{3}}}:1$$
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