A hollow cylinder pipe has inner circumference 44dm and outer 45dm. Find the cost of painting it from both sides (inside as well as outside) at rs.2 per m², if it's length is 3.5m
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Step-by-step explanation:
Inner circumference = 44 dm or 44/10 = 4.4 m
Circumference = 2πr
4.4 = 2*22/7*r
r = 30.8/44
Inner radius = 0.7 m
Outer circumference = 45 dm or 45/10 = 4.5 m
4.5 = 2*22/7*r
r = 4.5*7/44
r = 31.5/44
Outer radius = 0.716 m
Inner curved surface area = 2πrh
= 2*22/7*0.7*3.5
Inner curved surface area = 15.4 sq m
Outer curved surface area = 2*22/7*0.716*3.5
Outer surface curved area = 15.75 sq m
Total curved surface area = 15.4 + 15.75
= 31.15 sq m
Cost of painting it from both sides (inside and outside) = Rs. 2 per sq m
Total cost of painting = 31.15*2
= Rs. 62.30
Answer.
4.2
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