Question

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

Answer 1

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

❖❖❖❖❖❖SOLUTION❖❖❖❖❖❖❖

■Rate of water flow= 15 km/ hr

Diameter of pipe = 14 cm

Radius of pipe, r = 14/2 = 7 cm = 0.07 m

Let, length of water in pipe be H = ?

Length of cuboidal pond, l = 50 m

Width of pond, b = 44 m

Level of water rise

in the pond, h= 21 cm = 0.21 m

Volume of water to be

filled in the pond = l ×b×h

= 50×44× 0.21 m^3

= 462 m^3

Volume of water through pipe in the considerate will be equal to the volume of pond SO,

π×r^2×H = 462

22/7×(0.07)^2 × H = 462

22/7×0.07×0.07× H = 462

H = 4620000 / (22×7)

H= 30,000 m

H = 30 km

It means water has to travel distance of 30 km through the pipe with the speed of 15 km/hr.

We know that,

Time = distance/speed

Time = 30 / 15

Time = 2 hours.

SO IT WILL TAKE 2 HOURS TO FILL THE POND WITH 21 CM OF STANDING WATER.

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