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Q.

A spherical ball is divided into two equal halves. If the curved surface area of each half is 56.57  cm 2  , then what is the volume of the spherical ball?


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a

113.04  cm 3  

b

123.14  cm 3  

c

117.94  cm 3  

d

119.04  cm 3    

answer is A.

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Detailed Solution

Given- curved surface of half of the spherical ball =56.57  cm 2  .
Curved surface of half of the spherical ball =56.57  cm 2 2π r 2 =56.57 r 2 = 56.57×7 2×22 r 2 = 396 44 r 2 =9 r=3 cm  
Volume  = 4 3 π r 3 = 4 3 (3.14) (3) 3 = 4×84.78 3 = 339.12 3 =113.04  cm 3  
Thus, the volume of spherical ball is 113.04  cm 3  .
Hence, option 1 is the correct option.
 
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