49. How much water will be contained in a cylindrical cement tank if diameter
of the tank is 7 m and height is 6 times the radius?
(1) 808500 litres (2) 880500 litres
(3) 850800 litres (4) 800500 litres
Answers
:Capacity of Tank = 808.5 cubic meters
The tank is in cylindrical shape.
Hence capacity of tank = volume of cylinder = πr²h
r - radius of the base
h - height of the cylinder.
Given that
Diameter of the cylinder = 7 m
Radius = r = Diameter / 2 = 7 / 2 = 3.5 m
Height = 6 times the radius = 6r = 6 * 3.5 = 21 m
Capacity of Tank = πr²h
Substituting above values we get
Volume (or Capacity of tank) = 22*3.5*3.5*21/7 = 22*3.5*3.5*3
= 808.5 cubic meters or 808500 litres so option a is correct
Answer:
The tank is in cylindrical shape.
Hence capacity of tank = volume of cylinder = πr²h
r - radius of the base
h - height of the cylinder.
Given that
Diameter of the cylinder = 7 m
Radius = r = Diameter / 2 = 7 / 2 = 3.5 m
Height = 6 times the radius = 6r = 6 * 3.5 = 21 m
Capacity of Tank = πr²h
Substituting above values we get
Volume (or Capacity of tank) = 22*3.5*3.5*21/7 = 22*3.5*3.5*3
= 808.5 cubic meters or 808500 litres so option a is correct