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Let the level of water in the cuboidal pond rises be 21cm be in "t hours".
Speed of water ="15km/hr"="15 ×1000m/hr"="15000m/hr"
Diameter of pipe ="14cm"
Radius of pipe ="14/100m"
Volume of water flowing out of the pipe in 1 hour
=>(22/7)×(7/100)×(7/100)×15000
=>231m^3
So, the volume water flowing out of the pipe in "t hr" be" 231t hrs"
Volume of cuboidal pond
=>l×b×h
=>40×44×(21/100)
=>462 m^3
Volume of water flowing out of the pipe in t hrs= Volume of water in cuboidal pond.
=>231t=462
=>t=2hrs
Hence, the time takem by pipe to fill the water into the cuboidal tank is 2hrs.
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