MathematicsThe curved surface area of a cylinder is 1320  cm 2  and its base has diameter 21 cm  . What is the volume of the cylinder?

The curved surface area of a cylinder is 1320  cm 2  and its base has diameter 21 cm  . What is the volume of the cylinder?


  1. A
    6920 c m 3  
  2. B
    6930 c m 3  
  3. C
    6940 c m 3  
  4. D
    6950 c m 3   

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    Solution:

    Given the curved surface area of a cylinder is 1320c m 2   and its base has a diameter of 21 cm. Let h be the height of the cylinder.
    Now, Radius= Diameter 2  .
    So, r=212cm.
    Since the curved surface area of a cylinder is 1320c m 2  , so
    2πrh=1320  
    2× 22 7 × 21 2 ×h=1320 66h=1320 h=20   Thus, the volume of cylinder=π r 2 h   becomes,
    = 22 7 × 21 2 2 ×20 = 22 7 × 21 2 × 21 2 ×20 =6930c m 3    Thus, the volume of the cylinder is 6930 c m 3  .
    Therefore, option 2 is correct.
     
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