Question

A storage tank at a petrol station is a cuboid 4 m long, 3 m wide and 2 m deep. In one day if
alla 7200 litres of petrol from the tank, what is the fall in the level of the petrol in the tank?

Answer 1

Step-by-step explanation:

Given  

A storage tank at a petrol station is a cuboid 4 m long, 3 m wide and 2 m deep. In one day if all 7200 litres of petrol from the tank  what is the fall in the level of the petrol in the tank?

• If all the petrol the petrol of about 7200 litres evaporates
• Then volume of petrol evaporated will be 7200 x 1000 cm^3
•                                                                  = 7200000 cm^3
• Now area of cross section of tank = 400 x 300 cm^3
•                                                       = 120000 cm^3
• So fall in the level of petrol tank is 7200000 / 120000
•                                                               = 60 cm

Answer 2

The fall in the level of the petrol in the tank is 0.6 m

Step-by-step explanation:

A storage tank at a petrol station is a cuboid 4 m long, 3 m wide and 2 m deep.

The volume of tank = Length × width × Height

where, length = 4 m , wide = 3 m and deep = 2 m

Volume of tank $=4\times 3\times 2$

                          $=24\ m^3$

But $1\ m^3=1000\ liters$

In 24 m³ = 24×1000

              = 24000 liters

In petrol tank amount of petrol = 24000 liters

In one day 7200 liters taken out.

Amount of petrol left in tank = 24000 - 7200

                                               = 16800 liters

1000 liters = 1 m³

16800 liters = 16.8 m³

let new height of tank be x m

Volume of tank $=4\times 3\times x$

$12x=16.8$

$x=1.4\ m$

The fall in level of petrol = 2 - 1.4

                                         = 0.6 m

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