Volumes Practice Test 1

Question : 20 of 40

Marks: +1, -0

A rectangular tank is 80 m long and 25m broad. Water flows into it through a pipe whose cross-section is 25

cm^2

, at the rate of 16 km/hr. How much will the level of water rise in the tank in 45 minutes?

Solution:

16 km/hr = 16 ×

5/8

= 10 m/s
In 45 minutes length of water column = 10 × 45 × 60
Hence, 80 × 25 × h =

{25}/{100×100}

× 10 × 45 × 60
∴ h =

{45×3}/{2×80×25}

m =

{27}/{2×80×5}

× 100 cm
=

{27}/5

cm = 3.375 cm

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