find the capacity of a cylindrical water tank whose radius is 2.1 m and length is 5 m.
Answers
Step-by-step explanation:
volume of cylinder =πr^2h
=22/7×2.1×2.1×5
=22×0.3×10.5
=22×3.15
=69.3 litre^3
Given : Radius of the base of the tank is 2.1 m and length of the cylindrical tank is 5 m.
To find : The capacity of the water tank.
Solution :
The capacity of the water tank is 69.3 cubic meters or 69300 litres.
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the water holding capacity of the tank)
Now,
Water holding capacity = Volume of the cylindrical tank
And,
Volume of cylinder = π × (radius)² × height
(Here, height is described as length.)
So,
Volume of the given cylindrical water tank = π × (2.1)² × (5) = (22/7) × (2.1)² × (5) = (22 × 0.3 × 2.1 × 5) = 69.3 cubic metres
Now, 1 cubic meter = 1000 litres
69.3 cubic cubic meters = 69300 litres
Hence, holding capacity of the water tank is 69.3 cubic meters or 69300 litres.