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Q.

27 solid iron spheres, each of radius 2 cm   are melted to form a new solid sphere. What will be the surface area of the new sphere?


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a

452.57  cm 2  

b

458.1c m 2  

c

448.2c m 2  

d

457.2c m 2    

answer is A.

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Detailed Solution

Given- radius = 2 cm for smaller sphere.
Let r be the radius of new sphere.
Question Image Surface area of the sphere  =4π r 2 =4 22 7 (6) 2 = 3168 7 =452.57  cm 2  
Thus, the surface area of sphere is 452.57  cm 2  .
Hence, option 1 is the correct option.
 
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