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A bucket is in the form of a frustum of a cone with a capacity of 12308.8 cm3 of water. The radii of the top and bottom circular ends are 20 cm and 12 cm respectively. Find the height of the bucket and the area of the metal sheet used in its making. (Use π = 3.14).

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Given radii of top circular ends r1 = 20cm 

Radii of bottom circular end of bucket r2 = 12cm 

Let height of bucket be ‘h’

Volume of frustum cone

Given capacity

volume of bucket = 12308.8 cm3   .......(2)

Equating (1) and (2)

Height of bucket (h) = 15cm

Let ‘l’ be slant height of bucket

Length of bucket 'or' slant height of Bucket (l) = 17cm

Curved surface area of bucket

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