Mathematics
A rectangular tank is 25 m long and 7.5 m deep. If 540 m3 of water be drawn off the tank, the level of water in the tank goes down by 1.8 m. Calculate :
(i) the width of the tank
(ii) the capacity of the tank.
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Answer
Given,
Tank dimension:
Length (l) = 25 m
Depth (h) = 7.5 m
Drop in level = 1.8 m
Volume removed = 540 m3.
(i) Volume removed = length × width × drop in level
⇒ 540 = 25 × width × 1.8
⇒ 540 = width × 45
⇒ Width = = 12 m.
Hence, width of the tank = 12 m.
(ii) Calculating the capacity of the tank,
Capacity of the tank = Length × Width × Depth
= 25 × 12 × 7.5
= 300 × 7.5
= 2250 m3.
Hence, capacity of tank = 2250 m3.
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