A rectangular water reservoir is 10.8 m by 3.75 m at the base. Water flows into it at the rate of 18 m/s through a pipe having the cross section 7.5 cm×4.5 cm. Find the height to which the water will rise in the reservoir in 30 minutes.

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A rectangular water reservoir is $10.8 m$ by $3.75 m$ at the base. Water flows into it at the rate of $18 m / s$ through a pipe having the cross section $7.5 cm × 4.5 cm .$ Find the height to which the water will rise in the reservoir in 30 minutes.

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9.2m

4.8m

3.2m

2.7m

answer is D.

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Detailed Solution

Given a rectangular water reservoir with base 10.8 m by 3.75 m. Water flows into it at the rate of 18m/s through a pipe having the cross-section 7.5 cm x 4.5 cm.
Let the water is raised by the height h.
The volume of the cuboid is