MathematicsA metallic bucket, open at the top, of height 24 cm is in the form of the frustum of a cone, the radii of whose lower and upper circular ends are 7 cm and 14 cm respectively. Find the volume of the bucket. [Use π= 22 7  ]

A metallic bucket, open at the top, of height 24 cm is in the form of the frustum of a cone, the radii of whose lower and upper circular ends are 7 cm and 14 cm respectively. Find the volume of the bucket. [Use π= 22 7  ]


  1. A
    8624 c m 3  
  2. B
    7624 c m 3  
  3. C
    6624 c m 3  
  4. D
    5624 c m 3   

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    Solution:

    Given,
    Height of the bucket = 24cm
    Lower radius of the bucket = 7cm
    Upper radius of the bucket = 14cm
    We know that the bucket is in shape of a frustum and the volume of frustum of radii r and R and height h is given by
    V= πh 3 R 2 + r 2 +Rr  
    We get,
    V= 22×24 7×3 14 2 + 7 2 + 14×7   V= 176 7 196+49+98   V=8624c m 3  
    Therefore, the volume of the bucket is 8624 cm 3  .
    Hence, the correct option is 1.
     
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