A metallic pipe has bore(inner diameter) of 5cm. The pipe is 2mm thick all round. Find the weight in kg of 2m of the pipe if 1 cu cm of the metal weighs 7.7 gm. (Take pie as 3.14).
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Answer:
Step-by-step explanation:
The inner diameter = 5cm
The inner radius = 5/2 = 2.5cm
The thickness = 2mm = 2/10 cm = 0.2cm
The outer radius = 2.2 + 0.5 = 2.8cm
The length of the pipe = 2m = 2x100cm = 200cm
Volume of the pipe = 22/7 x R² X h - 22/7 x r² x h = 22/7 xh (R² - r²)
Where R= outer radius, r = inner radius and h = length of pipe
∴ Volume = 22/7 x 200 (2.8² - 2.5²)
= 22/7 x 200 (7.84 - 6.25)
= 999.42 cm³
Mass = Density x Voulme
= 7.7 x 999.42
= 7695.534g
1000g = 1kg
∴ the mass = 7695.534/1000 = 7.69 kg
Step-by-step explanation:
The inner diameter = 5cm
The inner radius = 5/2 = 2.5cm
The thickness = 2mm = 2/10 cm = 0.2cm
The outer radius = 2.2 + 0.5 = 2.8cm
The length of the pipe = 2m = 2x100cm = 200cm
Volume of the pipe = 22/7 x R² X h - 22/7 x r² x h = 22/7 xh (R² - r²)
Where R= outer radius, r = inner radius and h = length of pipe
∴ Volume = 22/7 x 200 (2.8² - 2.5²)
= 22/7 x 200 (7.84 - 6.25)
= 999.42 cm³
Mass = Density x Voulme
= 7.7 x 999.42
= 7695.534g
1000g = 1kg
∴ the mass = 7695.534/1000 = 7.69 kg
mathgirl18:
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