MathematicsState true or false for the following. The volume of the frustum of a cone is 1 3 πh r 1 2 + r 2 2 − r 1 r 2   where h is vertical height of the frustum and r 1 , r 2   are the radii of the ends.

State true or false for the following.


The volume of the frustum of a cone is 1 3 πh r 1 2 + r 2 2 r 1 r 2   where h is vertical height of the frustum and r 1 , r 2   are the radii of the ends.


  1. A
    True
  2. B
    False 

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    Solution:

    We have been given that volume of frustum of cone is 1 3 πh r 1 2 + r 2 2 r 1 r 2  .
    We know that the formula for the volume of frustum of cone is given by- Volume of frustum of cone = 1 3 πh r 1 2 + r 2 2 + r 1 r 2   where h is vertical height of the frustum and r 1 , r 2   are the radii of the ends.
    Therefore, the given statement is false.
    Therefore, the correct answer is option (2).
     
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