A cylindrical pipe of internal diameter $14$ cm carries water at the rate of $2$ m/s. The volume of water…
A cylindrical pipe of internal diameter $14$ cm carries water at the rate of $2$ m/s. The volume of water (in litres) discharged in $1$ minute is (use $\pi=\dfrac{22}{7}$):
$1848$ L
$924$ L
$1232$ L
$3696$ L
Solution
Internal radius $= 7$ cm $= 0.07$ m. Length of water column in $60$ s $= 2 \times 60 = 120$ m. Volume $= \pi r^{2} h = \dfrac{22}{7} \times (0.07)^{2} \times 120 = \dfrac{22}{7} \times 0.0049 \times 120 = \dfrac{22 \times 0.588}{7} = \dfrac{12.936}{7} = 1.848 \text{ m}^{3} = 1848$ L.