Question

A rectangular reservoir of 2800 m3 capacity has length and height equal to 10 m and 40 m respectively. if 420 m3 of water is taken out of the reservoir, find the drop in the level of water (in meters) in the reservoir.

A 5 m Correct Answer Incorrect Answer
B 6 m Correct Answer Incorrect Answer
C 12 m Correct Answer Incorrect Answer
D 8 m Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Given that volume (V) = 2800 m3 length (I) = 10 m Height (h) = 40 m ⇒ Breadth (b) = V/(l × h) = 2800/(10 × 40) = 7 m Let‘d’ metres be the drop in level of water. Volume of water taken out = length × breadth × drop in the level of water ⇒ 420 = 10 × 7 × d ∴ d = 6 m

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