Question

water is falling in a cylindrical tank from a inlet pipe @ 10 litres per minute if the diameter and height of the tank are 1 m and 7 M respectively find the time required to fill the tank​

Answer 1

Answer:

Step-by-step explanation:

Volume of cylindrical tank

= πr²h = 22/7×(3/2)²×3.5 = 24.75 m³ or 24750 litres (∵ 1m³=1000 litres)

Volume of half of the hank (Volume to be emptied) 

= 24750/2 =  litres

Time needed to empty half the tank =  12375/225 = 55 minutes  

Answer 2

It takes 550 minutes to fill the tank

Solution:

Find the volume of cylinder

$Volume = \pi r^2 h$

Diameter = 1 m

Therefore, radius = 1/2 = 0.5 meter

height = 7 meter

Substituting we get,

$Volume = 3.14 \times 0.5^2 \times 7\\\\Volume = 5.495\ m^3$

Convert cubic meter to liters

1 cubic meter = 1000 liter

5.495 cubic meter = 5.495 x 1000 liter = 5495 liter

water is falling in a cylindrical tank from a inlet pipe @ 10 litres per minute

Therefore,

1 minute = 10 liters

"x" = 5495 liters

Solve by cross multiplying

$5495 \times 1 = 10 \times x\\\\x = 549.5 \approx 550\ minutes$

Thus, it takes 550 minutes to fill the tank

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