A rectangular sump has an inner length and breadth of 24 m and 20 m respectively. Water flows through an inlet pipe at 180 m per minute. The cross-sectional area of the pipe is 0.5 `m^(2)`. The tank takes half an hour to get filled. Find the depth of the sump (in m).

Options

A. 4.625
B. 6.125
C. 5.625
D. 5.125

Answer

C

Explanation

Let the depth of the sump be h m.
Volume of water flowing through the pipe `=(180)`
`(0.5)m^(3)//"minute"=90m^(3)//"minute" `.
Total volume of water which must flow through to fill the sump `=(90)(30)=2700 cm^(3).`
` :. (24)(20) (h) = 2700`
`h=5.625.`