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Question -

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



Answer -

Given,

Height of the bucket(h) = 24 cm

Radius of the circularends of the bucket 5 cm and 15 cm

So, r1 =5 cm; r2 = 15 cm

Let ‘L’ be the slantheight of the bucket

Then, we know that

Now,

Curved surface area ofthe bucket

= π(r1 +r2)l + πr12

= π(5 + 15)26 +π52 = π(520 + 25) = 545π cm2

Therefore, the curvedsurface area of the bucket = 545π cm2

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