# Amount of concrete use in the construction conduct

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Amount of concrete use in the construction conduct

a cicular conduct,whose inside diameter is 3.5 is 0.10 thick, it rises 5m per 500 horizontal meter.the plane w/c cointain the end of the conduct is the end use 150m part. Find the amount of concrete use in the construction conduct

Length:
$\dfrac{L}{150} = \dfrac{\sqrt{5^2 + 500^2}}{500}$

$L = 150.007 ~ \text{m} \equiv 150 ~ \text{m}$

Area:
$A = \pi(1.85^2 - 1.75^2)$

$A = 0.36\pi ~ \text{m}^2$

Volume of concrete
$V = AL = 0.36\pi(150)$

$V = 54\pi ~ \text{m}^3 = 169.65 ~ \text{m}^3$