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					 A solid sphere and a solid hemisphere have the same total surface area. The ratio of their volumes is (Take, π= 22/7)
 
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                        -  3√3 : 4
 
-  4 : 3√3 
 
-  3 :4√5 
 
- 1 : 12√3
 
-  3√3 : 4
Correct Option: A
Radius of solid sphere = R units 
Radius of solid hemisphere = r units 
According to the question, 
4πR² = 3πr² 
⇒ 4R² = 3r²
| ⇒ | = | ⇒ | = | ||||
| r² | 4 | r | 2 | 
| ∴ Ratio of volumes = | πR³ | = 2 | = 2 | = | = 3√3 : 4 | ||||||||||||
| 3 |  |  | ³ |  |  | ³ | |||||||||||
| πr³ | |||||||||||||||||
| 3 | |||||||||||||||||
 
	