If the radii of the circular ends of a bucket 24 cm high are 5 cm and 15 cm respectively, find the surface area of the bucket.

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Solution

The height of the conical bucket is h = 24 cm. The radii of the bottom and top circles are r₁ = 15cm and r₂ = 5cm respectively.

The slant height of the bucket is

The curved surface area of the bucket is

cm²

Hence the curved surface area of the bucket is

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