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Volumes Practice Test 4

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Question : 1 of 16

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A tank is of the shape of a cuboid whose length is 7.2 m and breadth is 2.5m. Water flows into it through a pipe whose cross-section is 5 cm × 3 cm at the rate of 10 m/s. Find the height to which water level will rise in the tank in 40 minutes.

1m
2m
3m
4m

Solution:

Here, length of water column in 40 min = 10 × 40 × 60 m

Since, 7.2 × 2.5 × h =

\frac{5}{100} \times \frac{3}{100} \times 10 \times 40 \times 60

⇒ h =

\frac{36 \times 100}{72 \times 25}

= 2m

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