a cylindrical tank of diameter 3M and height 7 cm is full of water it is been emptied by a pipe 25/7 litres per second how much time will it take to make the tank half empty
Answers
Answer:
Step-by-step explanation:
Given:
Diameter (d)= 3 m = 300 cm
Height (h)= 7 cm
Speed of the pipe to empty the tank=3+4/7 = 25/7
To find:
Time to half empty the tank
Solution:
radius of cylindrical tank (r) = d/2 = 300/2 = 150 cm
Volume of cylindrical tank = πr²h
=22/7 ×150×150×7
= 3465000 cm²
=3465 litre (1000 cm² = 1 litre)
Volume of half cylindrical tank = 1/2×3465
= 1732.5 litre
Time to empty half tank = 1732.5÷25/7
= 485.1
≈ 485 seconds
∴ It will take 485 seconds to empty half tank.