Question

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

Answer 1

Given height of a bucket(R) =  24cm

Radius of circular ends of bucket 5cm and 15cm

r₁ = 5cm ; r₂ = 15cm

Let 'l' be slant height of bucket

`l=sqrt((r_1-r_2)^2+h^2)`

⇒`l=sqrt((15-5)^2+24^2`

⇒`l=sqrt(100+576) =sqrt(676)`

l=26cm

Curved surface area of bucket `=pi(r_1+r_2)l+pir_2^2`

= π(15+5)26+π(5)²

= π(20)26+π(5)²

= π(520+25)

= 545π cm²

∴ Curved surface area of bucket = 545π cm²