# If the Radii of Circular Ends of a Bucket 24cm High Are 5cm and 15cm. Find Surface Area of Bucket? - Mathematics

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

#### Solution

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

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Exercise 14.3 | Q 7 | Page 78