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 1

Given,

Height of the bucket (h) = 24 cm

Radius of the circular ends of the bucket 5 cm and 15 cm

So, r₁ = 5 cm; r₂ = 15 cm

Let ‘L’ be the slant height of the bucket

Then, we know that

Now,

Curved surface area of the bucket

= π(r₁ + r₂)l + πr₁²

= π(5 + 15)26 + π5² 

= π(520 + 25) 

= 545π cm²

Therefore, the curved surface area of the bucket = 545π cm².