A bucket is in the form of a frustum of a cone and holds 28.490 L of water. The radii of the top and bottom are 28 cm and
21 cm, respectively. Find the height of the bucket.

Clearly, Given bucket is in the form of frustum of a cone.


As we know


Volume of frustum of a cone


Where, h = height, r1 and r2 are radii of two ends (r1 > r2)


For given bucket,


Volume of bucket = 28.490 L


Volume of bucket = 28490 cm3


[As, 1 L = 1000 cm3 ]


Radius of top, r1 = 28 cm


Radius of bottom, r2 = 21 cm


Let the height be h.


Using these values,


We have.






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