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Q.

Among the following, an correct statement is:

A metal pipe is 77 cm long.  The inner diameter of a cross-section is 4 cm.  The outer diameter is 4.4 cm.  Then the

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a

Total surface area =2038.08cm2

b

Outer surface area =1064.8cm2

c

Inner curved surface area =968cm2

d

Surface area of each end =2.62cm2

answer is A, B, C.

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Detailed Solution

C.S.A. inner of cylinder =2πrh

=2×227×2×77

=88×11

=968cm2  (A)

Outer surface area =2πrh

r=d2=4.42=2.2=2210

=2×227×2210×77

=22×22×2210=1064810=1064.8cm2 (B)

T.S.A. of cylinder = Inner C.S.A. + Outer C.S.A.+2(πR2πr2)

=968+1064.8+227((2.2)2(2)2)×2

=2032.8+5.28

=2038.08cm2 (C)

Surface area of the end =πR2πr2

=π[(2.2)2(2)2]

=227×4.2×0.2

=2.64cm2

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