"A Simple Guide to Calculating Water in a Circular Water Tank Explained in English"?

 

1. "A Simple Guide to Calculating Water in a Circular Water Tank Explained in English"

1. "A Simple Guide to Calculating Water in a Circular Water Tank Explained in English"

Calculating the volume of water in a circular water tank is essential for effective water management. By determining the amount of water present, the designer can easily plan, estimate storage requirements, water usage, and ensure efficient utilization of resources. Here, the engineer will discuss how to calculate the water volume in a circular water tank and also provide a few examples in liters to illustrate the process. To calculate the water volume in a circular water tank, the engineer should need to know the diameter, height, and water level of the tank. The formula for calculating the volume of a circular tank is as follows:

V = πr^²h

here V represents the volume of water in the tank,

 π is a mathematical constant approximately equal to 3.14,

r is the radius of the tank,

and h is the height of the water in the tank.

To determine the radius of the tank, you divide the diameter by 2. Hence, the formula for the radius is as follows:

r = d/2

where d represents the diameter of the tank.

Let us understand some examples to illustrate the above formula.

Example 1: Suppose there is a circular water tank with a diameter of 10 meters and a height of 5 meters. If the water level in the tank is 4 meters, we can calculate the volume of water using the following steps:

r = d/2 = 10/2 = 5 meters

V = πr^²h = 3.14 x 5^2 x 4 = 314 cubic meters

Volume in liters = 314 x 1000 = 314,000 liters

Therefore, the amount of water in the tank is 314,000 liters.

Example 2: Let's consider another scenario of a circular tank having diameter of 8 meters and a height of 6 meters. If the water level in the tank is 3.5 meters, we can calculate the volume of water as follows:

r = d/2 = 8/2 = 4 meters

V = πr^²h = 3.14 x 4^2 x 3.5 = 175.84 cubic meters

Volume in liters = 175.84 x 1000 = 175,840 liters

The amount of water in the tank is 175,840 liters.

Example 3: Let us consider another example of circular water tank with a diameter of 12 meters and a height of 4 meters. If the water level in the tank is 2 meters, the volume of water can be calculated as follows:

r = d/2 = 12/2 = 6 meters

V = πr^²h = 3.14 x 6^2 x 2 = 226.08 cubic meters

Volume in liters = 226.08 x 1000 = 226,080 liters

The amount of water in the tank is 226,080 liters.

Example 4: Suppose we have a circular water tank with a diameter of 15 meters and a height of 8 meters. If the water level in the tank is 5 meters, the volume of water can be calculated as follows:

r = d/2 = 15/2 = 7.5 meters

V = πr^²h = 3.14 x 7.5^2 x 5 = 883.13 cubic meters

Volume in liters = 883.13 x 1000 = 883,130 liters

The amount of water in the tank is 883,130 liters.

Example 5: Last but not least example to understand, let us consider a circular water tank with a diameter of 6 meters and a height of 3 meters. If the water level in the tank is 2.5 meters, the volume of water can be calculated as follows:

r = d/2 = 6/2 = 3 meters

V = πr^²h = 3.14 x 3^2 x 2.5 = 70.65 cubic meters

Volume in liters = 70.65 x 1000 = 70,650 liters

The amount of water in the tank is 70,650 liters.

Conclusion: Calculating the volume of water in a circular water tank is crucial for efficient water management. By knowing the diameter, height, and water level, we can utilize the formula V = πr^²h to determine the volume of water in the tank. The obtained volume can be converted to liters by multiplying by 1000. Being able to calculate the water volume in a circular water tank allows for effective planning and utilization of water resources in the designed location.