Question

An open rectangular tank that is 4m long, 2m wide and 4.8m high, is initially three quarters filled with water. Find the depth of water in the tank after 4000 litres of water are added to it

Answer 1

Solution :-

Given :

A cuboidal tank measures 4m long, 2m wide, and 4.8m high.

Volume of cuboid = lbh cu. units

= (4 × 2 × 4.8) m³

= 38.4 m³

We know that,

1 m³ = 1000 l

∴ 38.4 m³ = (1000 × 38.4) l = 38400 l

Given : Initially it is half filled with water.

Half of the tank = 38400/2 = 19200 l

Volume of water after the 4000 litres more of water are added = (19200 + 4000) = 23200 l

1000 l = 1 m³

23200 l = (23200/1000) m³ = 23.2 m³

Find the depth of water in the tank :-

=> Volume of water in the tank = lbh cu. units

=> 23.2 = (4 × 2 × h)

=> h = 23.2/8 = 2.9

Hence,

The depth of water in the tank = 2.9 m

Answer 2

Answer:

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