Answer :
First, we will draw the bucket as per the given data,
Given the height of the bucket, h = 24cm
Radius of the upper end, r1 = 15cm
Radius of the lower end, r2 = 5cm
So, the slant height, l of the bucket can be calculated using the below formula
Now substituting the corresponding values, we get
l = 26cm
Now we know the curved surface area of a frustum is
= π(r1 + r2)l
Substituting the corresponding values, we get
= π (15 + 5) (26)
= π (20) (26)
= π (520)
= 3.14 × 520
= 1632.8≈ 1633cm2
Hence the curved surface area of the bucket is 1633cm2.
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