MathematicsIf h, S, V be the height, curved surface area and volume of a cone respectively, then  (3πV h 3 − S 2 h 2 +9 V 2 )   is equal to:

If h, S, V be the height, curved surface area and volume of a cone respectively, then  (3πV h 3 S 2 h 2 +9 V 2 )   is equal to:


  1. A
    8  
  2. B
    0  
  3. C
    4π  
  4. D
    32 π 2  

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    Solution:

    Let the expression be (3πV h 3 S 2 h 2 +9 V 2 )  … (1) We know that the curved surface area of the cone is S=πrl  … (2) and the volume of the cone is V= 1 3 π r 2 h  … (3)
    Substitute the value (2) and (3) in (1), we have
    Hence, the correct option is 2.
     
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