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# A Rectangular Tank is 80 M Long and 25 M Broad. Water Flows into It Through a Pipe Whose Cross-section is 25 Cm2, - CBSE Class 9 - Mathematics

ConceptVolume of a Cuboid

#### Question

A rectangular tank is 80 m long and 25 m broad. Water flows into it through a pipe whose cross-section is 25 cm2, at the rate of 16 km per hour. How much the level of the water rises in the tank in 45 minutes.

#### Solution

Let the level of water be risen by h cm.
Then,
Volume of water in the tank = 8000xx2500xxhcm^2
Area of cross – section of the pipe =25cm^2
Water coming out of the pipe forms a cuboid of base area 25cm^2 and length equal to the distance travelled in 45 minutes with the speed 16km/hour.

i.e., length=16000xx100xx45/60cm
∴Volume of water coming out of pipe in 45 minutes
=25xx16000xx100(45/60)

Now, volume of water in the tank = volume of water coming out of the pipe in 45 minutes

⇒8000xx2500xxh=16000xx100xx45/60xx25

⇒h=(16000xx100xx45xx25)/(8000xx2500xx60)cm=1.5cm.

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Solution for Mathematics for Class 9 by R D Sharma (2018-19 Session) (2018 to Current)
Chapter 18: Surface Areas and Volume of a Cuboid and Cube
Ex.18.20 | Q: 27 | Page no. 31
Solution A Rectangular Tank is 80 M Long and 25 M Broad. Water Flows into It Through a Pipe Whose Cross-section is 25 Cm2, Concept: Volume of a Cuboid.
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