the length of a metallic pipe is 70 cm in diameter is 10 cm and thickness is 5 M if density of metal used in 8 gram per centimetre cube then find mass of the pipe
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Answer:
The mass of the pipe is 7539824 grams
Step-by-step explanation:
Diameter of outer circle = 70 cm
=> Radius of outer circle, R = 35 cm
Given thickness = 10 cm
=> Radius of inner circle, r = 35 - 10 = 25 cm
Length of the pipe, h = 5 m = 500 cm
Hence volume of the pipe,
V = πR²h - πr²h
= πh(R²-r²)
= πh(R+r)(R-r)
= 3.14 x 500 x (35+25)(35-25)
= 3.14 x 500 x 60 x 10
=> V = 942478 cm³
Given density of metal = 8 g/cm³
We know that mass is defined as the product of volume and density.
Mass = volume x density
= 942478 x 8
= 7539824 grams
Hence the mass of the pipe is 7539824 grams
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