Q31 of 47 Page 1

A bucket open at the tip is in the form of a cone with a capacity of 12308.8 cm3. 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 metal sheet used n making the bucket.

It is given in the question that,

Radius of the top of bucket, R = 20 cm


Also, Radius of the bottom of bucket, r = 12 cm


And, Volume of bucket = 12308.8 cm3






h = 15 cm





= 17 cm


∴ Total area of metal sheet used = Curved Surface Area of bucket + Area of base





= 3.14 × 688


= 2160.32 cm2


Hence, the total area of the used metal sheet is 2160.32 cm2


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