Question

water flows from a tank with a rectangular base measuring 90 cm by 80 cm into another tank with a square base of side 80 cm if the water in the first tank is 60 cm deep how deep will it be in the second tank​

Answer 1

1) Volume of tank with rectangular base=

V

1

=l×b×h

1

Where, l = length of the rectangular base

b = width of the rectangular base

h

1

= height of the rectangular tank

∴V

1

=80×70×45

∴V

1

=252000cm

3

2) Let h = height of the tank with square base

a = side of the square base

Thus, volume of the tank with square base =

V

2

=a

2

×h

2

∴V

2

=60

2

×h

2

∴V

2

=3600×h

2

3) V

1

=V

2

∴252000=3600×h

2

∴h

2

=

3600

252000

∴h

2

=70cm