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# Water is Flowing at the Rate of 15 Km/Hour Through a Pipe of Diameter 14 Cm into a Cuboidal Pond Which is 50 M Long and 44 M Wide. in What Time Will the Level of Water in the Pond Rise by 21 Cm? - CBSE Class 10 - Mathematics

ConceptSurface Areas and Volumes Examples and Solutions

#### Question

Water is flowing at the rate of 15 km/hour through a pipe of diameter 14 cm into a cuboidal pond which is 50 m long and 44 m wide. In what time will the level of water in the pond rise by 21 cm?

#### Solution

Speed at which the water is flowing through the pipe = 15 km / h = (15000m)/(3600s)=25/6 m/s

Radius of the pipe= (14cm)/2=7cm=7/100m

Length of the cuboidal pond = 50 m

Breadth of the cuboidal pond = 44 m

Rise in the level of water in the pond =21 cm = 21/100m

Time (in sec) taken by the pipe to fill the pond

\text{Volume of the pond}/\text{Volume of the  water flowing through the4 pipe in 1 second}

=(50m xx44mxx21/100m)/(22/7xx7/100mxx7/100mxx25/6m)s

=7200 s

=7200/3600h

=2h

Thus, the time taken by the pipe to fill the pond is 2 hours.

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Solution Water is Flowing at the Rate of 15 Km/Hour Through a Pipe of Diameter 14 Cm into a Cuboidal Pond Which is 50 M Long and 44 M Wide. in What Time Will the Level of Water in the Pond Rise by 21 Cm? Concept: Surface Areas and Volumes Examples and Solutions.
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