A pipe is connected with a spherical tank which can empty the tank at

1.	A pipe is connected with a spherical tank which can empty the tank at 14 litres per second and radius of tank is 6.3 m. How much time taken by pipe to empty the tank.1. 1247.4 minutes2. 1257.4 minutes3. 1247.2 minutes4. 1257.2 minutes
Answer» Correct Answer - Option 1 : 1247.4 minutes Given: The radius of the tank, r = 6.3 m Speed of water through pipe = 14 litres/sec Formula used: Volume of tank = (4/3) × πr³ 1 m³ = 1000 litres Calculation: Volume of tank = (4/3) × πr3 ⇒ The volume of tank = (4/3) × (22/7) × (6.3)³ ⇒ 1047.816 m³ The volume of pipe in 1 second = 14 litres ⇒ The volume of pipe in 1 second = (14/1000) m³ Time is taken by pipe to empty the tank = (Volume of the tank)/(Volume of pipe in 1 second) ⇒ (1047.816)/(14/1000) ⇒ 74844 seconds ⇒ (74844)/60 minutes ⇒ 1247.4 minutes ∴ The time taken by pipe to empty the tank is 1247.4 minutes

A pipe is connected with a spherical tank which can empty the tank at 14 litres per second and radius of tank is 6.3 m. How much time taken by pipe to empty the tank.1. 1247.4 minutes2. 1257.4 minutes3. 1247.2 minutes4. 1257.2 minutes

Answer» Correct Answer - Option 1 : 1247.4 minutes

Given:

The radius of the tank, r = 6.3 m

Speed of water through pipe = 14 litres/sec

Formula used:

Volume of tank = (4/3) × πr³

1 m³ = 1000 litres

Calculation:

Volume of tank = (4/3) × πr3

⇒ The volume of tank = (4/3) × (22/7) × (6.3)³

⇒ 1047.816 m³

The volume of pipe in 1 second = 14 litres

⇒ The volume of pipe in 1 second = (14/1000) m³

Time is taken by pipe to empty the tank = (Volume of the tank)/(Volume of pipe in 1 second)

⇒ (1047.816)/(14/1000)

⇒ 74844 seconds

⇒ (74844)/60 minutes

⇒ 1247.4 minutes

∴ The time taken by pipe to empty the tank is 1247.4 minutes

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