Water flows into a tank with a base of 150, m | vedclass

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(A) First,convert the speed of water from $km/h$ to $m/h$: $15\, km/h = 15000\, m/h$.Next,convert the pipe cross-section dimensions from $dm$ to $m$:

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(A) First,convert the speed of water from $km/h$ to $m/h$: $15\, km/h = 15000\, m/h$.Next,convert the pipe cross-section dimensions from $dm$ to $m$: $2\, dm = 0.2\, m$ and $1.5\, dm = 0.15\, m$.The volume of water flowing through the pipe in one hour is: $V_{pipe} = 0.2\, m 	imes 0.15\, m 	imes 15000\, m/h = 450\, m^3/h$.The required volume of water in the tank is: $V_{tank} = 150\, m 	imes 100\, m 	imes 3\, m = 45000\, m^3$.The time required to fill the tank to a depth of $3\, m$ is: $	ext{Time} = \frac{V_{tank}}{V_{pipe}} = \frac{45000\, m^3}{450\, m^3/h} = 100\, hours$.

Water flows into a tank with a base of $150\, m \times 100\, m$ through a pipe with a cross-section of $2\, dm \times 1.5\, dm$ at a speed of $15\, km/h$. In what time will the water reach a depth of $3\, m$? (in $hours$)

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