Water is flowing at the rate of 5 text{ km/h} | vedclass

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(A) $1$. Radius of the pipe $(r)$ = $14/2 = 7 	ext{ cm} = 0.07 	ext{ m}$.$2$. Speed of water = $5 	ext{ km/h} = 5000 	ext{ m/h}$.$3$. Volume of wa

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(A) $1$. Radius of the pipe $(r)$ = $14/2 = 7 	ext{ cm} = 0.07 	ext{ m}$.$2$. Speed of water = $5 	ext{ km/h} = 5000 	ext{ m/h}$.$3$. Volume of water flowing through the pipe in $1 	ext{ hour} = \pi r^2 h = (22/7) 	imes (0.07)^2 	imes 5000 = (22/7) 	imes 0.0049 	imes 5000 = 22 	imes 0.0007 	imes 5000 = 77 	ext{ m}^3$.$4$. Volume of water required in the tank = $	ext{Length} 	imes 	ext{Width} 	imes 	ext{Height} = 50 	ext{ m} 	imes 44 	ext{ m} 	imes (7/100) 	ext{ m} = 50 	imes 44 	imes 0.07 = 154 	ext{ m}^3$.$5$. Time taken = $	ext{Total volume required} / 	ext{Volume per hour} = 154 / 77 = 2 	ext{ hours}$.

Water is flowing at the rate of $5 \text{ km/h}$ through a pipe of diameter $14 \text{ cm}$ into a rectangular tank which is $50 \text{ m}$ long and $44 \text{ m}$ wide. The time taken,in hours,for the rise in the level of water in the tank to be $7 \text{ cm}$ is:

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