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  1. A solid sphere and a solid hemisphere have the same total surface area. The ratio of their volumes is (Take, π= 22/7)
    1. 3√3 : 4
    2. 4 : 3√3
    3. 3 :4√5
    4. 1 : 12√3
Correct Option: A

Radius of solid sphere = R units
Radius of solid hemisphere = r units
According to the question,
4πR² = 3πr²
⇒ 4R² = 3r²

=
3
R
=
3
4r2

∴ Ratio of volumes =
4
πR³ = 2 = 2 = = 3√3 : 4
3
R
³
3
³
3√3
2
πr³
r
2
4
3



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