A metal pipe is 77cm long.The …
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Posted by Yash Yash 3 years, 9 months ago
- 2 answers
Yogita Ingle 3 years, 9 months ago
A pipe will have two layers as shown in picture.
There is a inner Cylinder and Outer Cylinder.
Inner Radius = Inner Diameter / 2 = 4 / 2 = 2 cm = r
Outer Radius = Outer Diameter / 2 = 4.4/2 = 2.2 cm = R
Height of the pipe = 77 cm = h
Inner Surface area of the Pipe = 2∏rh = 2×22×2×77/7 = 968 Square cm.
Outer Surface area of the pipe = 2∏Rh = 2×22×2.2×77/7 = 1064.8 Square cm.
Total Surface area = Inner Surface area + Outer Surface area + 2 × Cross section surface area.
The cross section suface area is present at two ends of the pipe.
This is the area covered between 2 circles.
Total Surface area = Inner Surface area + Outer Surface area + 2 × Cross section surface area.
= 968 + 1064.8 + 2×∏(R^2 – r^2)
= 2032.8 + 2×22×(2.2×2.2 – 2×2)/7
= 2032.8 + 5.28
= 2038.08 Square cm.
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Ashmita Das 3 years, 9 months ago
0Thank You