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Q.

If the radius of a sphere is 2r, then what will be its volume?


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a

32π r 3 3  

b

16π r 3 3  

c

8π r 3 3  

d

64π r 3 3   

answer is A.

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Detailed Solution

It is given that the sphere’s radius is 2r.
We know that the volume of a sphere is 4 3 π r 3 ,   where r is the radius of the sphere.
Calculate the volume of the sphere as shown,
V= 4 3 π r 3 = 4 3 π× 2r 3 = 4 3 π×8 r 3 = 32π r 3 3  
Therefore the volume of the sphere will be 32π r 3 3 .  
Hence, option (1) is correct.
 
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