The Cross section of a water tank which is in the shape of rectangle with dimensions 12mx7m having semi circle at one end. If the water is 2m deep , Calculate the volume of water in the tank in litres ?

The correct answer is: Volume of water in the tank is 2,06,500 litres.

Step-by-step solution:
From the given information, we get-
For the rectangular portion-

• Length of the rectangular part of the tank = 12 m
• Width of the rectangular part of the tank = 7m

For the semi-circle portion-


Diameter of the semicircle = width of the rectangle ........................... (Refer adjacent diagram)
∴ Diameter of the semicircle = 7m
∴ Radius of the semicircle = 7/2 ....................... (Radius = Diameter/2) ....................... (Equation i)
To calculate Volume of water, we first calculate the surface area of the entire tank-
Surface area of the tank = Surface area of the rectangular portion + Surface area of the semicircle portion
∴ Surface area of the tank = (length breadth) + .
∴ Surface area of the tank = (12  7) + [] ............................................ (From given information & Equation i)
∴ Surface area of the tank = (84) + ()
∴ Surface area of the tank = 84 + 19.25
∴ Surface area of the tank = 103.25 ........................................................................... (Equation ii)
Volume of water in the tank = Surface Area of the tank depth of water
∴ Volume of water in the tank = 103.25 2
∴ Volume of water in the tank = 206.5 .
∴ Volume of water in the tank = 2,06,500 L.
∴ Volume of water in the tank is 2,06,500 litres.