A cylindrical tank full of water is emptied by a pipe at the rate of 2

1.	A cylindrical tank full of water is emptied by a pipe at the rate of 225 liters per minute. How much time will it take to empty half the tank, if the diameter of its base is 3 m and its height is 3.5 m?[ use π \(\frac{22}7\)].
Answer» Diameter of the cylindrical base = 3 m ∴ Radius of cylindrical tank \(\frac{3}2\) m = 1.5 m Height of the tank = 3.5 m Volume of the tank = πr²h = π x 1.5² x 3.5 = \((\frac{22}{7})\) x 1.5 x 1.5 x 3.5 = 24.75 m³ Now, 1 m³ = 1000 liters 24.75 m³ = 1000 × 24.75 liters = 24750 liters Full quantity of the water when it is full = 24750 m³ Quantity of water when it is half filled = \(\frac{24750}2\) liters = 12375 liters Time taken by it to empty 225 liters 0f water = 1 minute ∴ Time taken by it empty 12375 litersof water = \(\frac{12375}{225}\) minutes = 55 minutes

A cylindrical tank full of water is emptied by a pipe at the rate of 225 liters per minute. How much time will it take to empty half the tank, if the diameter of its base is 3 m and its height is 3.5 m?[ use π \(\frac{22}7\)].

Answer»

Diameter of the cylindrical base = 3 m

∴ Radius of cylindrical tank \(\frac{3}2\) m

= 1.5 m

Height of the tank = 3.5 m

Volume of the tank = πr²h

= π x 1.5² x 3.5 = \((\frac{22}{7})\) x 1.5 x 1.5 x 3.5

= 24.75 m³

Now,

1 m³ = 1000 liters

24.75 m³ = 1000 × 24.75 liters

= 24750 liters

Full quantity of the water when it is full = 24750 m³

Quantity of water when it is half filled = \(\frac{24750}2\) liters

= 12375 liters

Time taken by it to empty 225 liters 0f water = 1 minute

∴ Time taken by it empty 12375 litersof water = \(\frac{12375}{225}\) minutes

= 55 minutes