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# The Radii of the Ends of a Bucket 16 Cm Height Are 20 Cm and 8 Cm. the Curved Surface Area of the Bucket is - Mathematics

MCQ

The radii of the ends of a bucket 16 cm height are 20 cm and 8 cm. The curved surface area of the bucket is

#### Options

• 1760 cm2

•  2240 cm2

•  880 cm2

•  3120 cm2

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#### Solution

Radius of top of bucket r1 = 20 cm

Radius of bottom of bucket r2 = 8 cm

Height of bucket = 16 cm

The curved surface area of bucket  = pi (r_1 +r_2) l

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

= sqrt(16^2 + (20 - 8)^2)

=sqrt(256 + 144)

l = sqrt400

l = 20 "cm"

C.S.A. of bucket

 = pi (20 + 8) xx 20

= 22/7 xx 28 xx 20

=22 xx 80

= $1760 \ cm^2$

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 14 Surface Areas and Volumes
Q 38 | Page 91
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