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Q.

The outer diameter of a spherical shell is 12 cm and its inner diameter is 8 cm. Find the volume of metal contained in the shell.

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a

660cm3 

b

636.95cm3

c

566cm3

d

650.95cm3

answer is B.

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Detailed Solution

Given, a spherical shell with outer diameter=12 cm and inner diameter=8 cm.
Outer radius of the spherical shell ( r 2  ) is
⇒ 12 2 ⇒6 cm  
Inner radius of the spherical shell ( r 1  ) is
⇒ 8 2 ⇒4 cm    The formula for the volume of the metal in spherical shell = 4 3 π( r 2 3 − r 1 3 )   , where r 1   and r 2   are the internal and external radius of the spherical shell.
The volume of the metal is,
⇒ 4 3 × 22 7 ×( 6 3 − 4 3 )    ⇒636.95c m 3  
Thus, the volume of the metal is 636.95cm3.
Therefore, the correct option is 2.
 
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The outer diameter of a spherical shell is 12 cm and its inner diameter is 8 cm. Find the volume of metal contained in the shell.