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  1. A sphere and a hemisphere have the same volume. The ratio of their curved surface area is :
    1. 2³/2 : 1
    2. 2²/3 : 1
    3. 4³/2 : 1
    4. 2¹/3 : 1
Correct Option: D

4
πr³ =
2
πr1³
33

[r1 being the radius of hemisphere]
⇒ 2r³ = r1³ ⇒
r
 =
1
r12¹/3

Required ratio =
4πr²
 = 2
r
² = 2
1
²
2πr1²r12¹/3

= 2 × 2²/3 : 1 = 2¹/3 : 1


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