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  ]

# 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  ]

1. A

2. B

3. C

4. D

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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

We get,

Therefore, the volume of the bucket is 8624 cm  .
Hence, the correct option is 1.

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