A bucket open at the top is in the form of a frustum of a cone with a capacity of 12308.8   cm 3  . The radii of the top and bottom circular ends are 20 cm and 12 cm respectively. Find the height of the bucket. (Use π=3.14)

# A bucket open at the top is in the form of a frustum of a cone with a capacity of 12308.8  . The radii of the top and bottom circular ends are 20 cm and 12 cm respectively. Find the height of the bucket. (Use

1. A
15cm
2. B
20cm
3. C
25cm
4. D
21cm

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### Solution:

Given,
Capacity of the bucket = 12308.8
Upper radius of the bucket = 20cm
Lower radius of the bucket = 12cm
We know that the volume of a frustum of a cone having radii, r and R, and height, h is given by  .
We get,

Therefore, the height of the bucket is 15 cm.
Hence, the correct option is 1.

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