Water tanks are essential for storing and supplying water for various purposes such as domestic use, agriculture, and industrial applications. Among the various types of water tanks, circular water tanks are widely used due to their simple and efficient design. However, determining the size and capacity of a circular water tank can be a daunting task, especially for individuals who do not have a background in engineering or mathematics. In this article, we will explore the fundamentals of calculating the size and capacity of a circular water tank, including the necessary formulas and considerations. Understanding the process of sizing a circular water tank can help individuals make informed decisions when it comes to choosing the right tank for their water storage needs.

## How to calculate size of circular water tank and its capacity

A circular water tank is a common type of storage tank used for domestic and industrial purposes. It is designed to store water for later use and ensure a constant supply of water. In order to design a circular water tank, its size and capacity must be calculated accurately. The size and capacity of a circular water tank depend on various factors such as the volume of water required, the purpose of use, and the available space for construction. In this article, we will discuss how to calculate the size and capacity of a circular water tank.

Calculating the Size of a Circular Water Tank:

Step 1: Determine the Required Volume of Water

The first step in calculating the size of a circular water tank is to determine the required volume of water. This can be done by considering the purpose of the tank, the number of people using the water, and the daily usage per person. For domestic use, the average daily water usage per person is around 150 liters. For industrial use, the required volume of water is calculated based on the production or process requirements.

Step 2: Determine the Storage Capacity of the Tank

The storage capacity of the tank is the maximum amount of water that the tank can hold. It is calculated by multiplying the required volume of water by the tank’s storage factor. The storage factor is the percentage of the tank’s volume that can be used to store water. The general accepted value for the storage factor is 0.9. Therefore, the storage capacity of the tank can be calculated as follows:

Storage capacity = Required volume of water x Storage factor

Step 3: Determine the Diameter of the Tank

The diameter of the tank is the distance from one side to the other side of the circular tank. It can be calculated using the following formula:

Diameter = √(4 x Storage capacity / 3.14)

Step 4: Determine the Height of the Tank

The height of the tank is the distance from the bottom to the top of the tank. It can be calculated by dividing the storage capacity of the tank by its base area, which is the area of the circular base of the tank. The formula for calculating the height of the tank is as follows:

Height = Storage capacity / Base area

Base area = π x (Diameter / 2)^2

Calculating the Capacity of a Circular Water Tank:

Once the size of the tank is determined, the capacity of the tank can be calculated. The capacity of a circular water tank is the amount of water it can hold when it is full. It is calculated using the following formula:

Capacity = π x (Diameter / 2)^2 x Height

Example:

Let us consider a situation where a circular water tank is required for domestic use. The average daily water usage per person is 150 liters, and the number of people using the water is 4. The required volume of water would be 150 liters x 4 people = 600 liters.

Storage capacity = 600 liters x 0.9 (storage factor) = 540 liters

Diameter = √(4 x 540 liters / 3.14) = 26.06 feet

Height = 540 liters / (3.14 x (26.06 feet / 2)^2) = 4 feet

Capacity = 3.14 x (26.06 feet / 2)^2 x 4 feet = 1,068.24 liters or

## Calculation of size of circular water tank having water capacity is 2000 litre

When designing a water tank, it is important to consider the size and capacity of the tank to ensure it meets the needs of the intended usage. In this example, we will calculate the size of a circular water tank with a water capacity of 2000 litres.

Step 1: Determine the desired depth of the water tank

The first step in calculating the size of a water tank is to determine the desired depth of the tank. This will depend on the intended use of the tank and the amount of water needed. For our example, we will assume a desired depth of 2 meters.

Step 2: Calculate the area of the tank base

Since we are dealing with a circular water tank, the area can be calculated using the formula A=πr^2, where A is the area and r is the radius of the tank. To determine the area in square meters, we need to convert the depth in meters into centimeters and multiply it by 100. In our example, the calculation would be as follows:

A=πr^2=π(100)^2=31,416 square centimeters or 3.14 square meters.

Step 3: Calculate the circumference of the tank base

Next, we need to calculate the circumference of the tank base using the formula C=2πr, where C is the circumference and r is the radius of the tank. In our example, the calculation would be as follows:

C=2πr=2π(100)=628.32 centimeters.

Step 4: Calculate the height of the tank

To determine the height of the tank, we can use the formula h=V/A, where h is the height, V is the volume of the tank, and A is the area of the tank base. In our example, the calculation would be as follows:

h=V/A=2000 litres/3.14 square meters=636.94 centimeters or 6.37 meters.

Step 5: Calculate the total height of the tank

Since we have already determined the height of the water, we need to add the height of the tank base to get the total height of the tank. In our example, the calculation would be:

Total height=height of the tank+height of the tank base=6.37 meters+2 meters=8.37 meters.

Therefore, the required size of the circular water tank with a water capacity of 2000 litres and a desired depth of 2 meters would be 8.37 meters in height and have a base area of 3.14 square meters with a circumference of 628.32 centimeters.

It is important to note that this is a simplified calculation and other factors such as the material of the tank and structural elements should also be considered when designing a water tank. Consulting a licensed engineer is recommended to ensure the tank is designed and constructed properly.

## Calculation of size of circular water tank having water capacity is 10000 litre

The size of a circular water tank is an important factor to consider in civil engineering as it directly affects the amount of water it can hold and the structural stability of the tank. In this article, we will discuss the calculation of the size of a circular water tank with a water capacity of 10000 litres.

Step 1: Determine the Volume of the Tank

The first step in calculating the size of a circular water tank is to determine its volume. The volume of a cylindrical tank can be calculated by using the formula V = πr²h, where V is the volume, π is the mathematical constant of pi (3.14), r is the radius of the tank, and h is the height of the tank.

Since we are given that the water capacity is 10000 litres, we can convert it to cubic meters (m³) by dividing it by 1000. Therefore, the volume of the tank would be V = (10000/1000) m³ = 10 m³.

Step 2: Determine the Height of the Tank

Now that we know the volume of the tank, we can use the same formula to determine the height of the tank. Rearranging the formula, we get h = V / (πr²).

Using the value of V as 10 m³ and assuming a standard value of r as 1 meter, we get:

h = 10 / (3.14 x 1²) = 3.18 meters

Therefore, the height of the tank should be 3.18 meters.

Step 3: Determine the Diameter of the Tank

To determine the diameter of the tank, we need to use the formula D = 2r, where D is the diameter and r is the radius of the tank.

Using the value of r as 1 meter, we get:

D = 2 x 1 = 2 meters.

Therefore, the diameter of the tank should be 2 meters.

Step 4: Check for Safety Factor and Additions

In this step, we need to ensure that the tank is safe and stable enough to hold the desired capacity of water. We can achieve this by considering a safety factor of 1.2, which is commonly used in civil engineering.

To do so, we can multiply the dimensions of the tank (height and diameter) by 1.2.

Hence, the final dimensions for the tank would be a height of 3.18 x 1.2 = 3.8 meters and a diameter of 2 x 1.2 = 2.4 meters.

In addition, we also need to consider the thickness of the tank walls. For concrete tanks, a thickness of 150mm is generally used, while for steel tanks, it is 3mm.

Step 5: Calculate the Actual Volume

To calculate the actual volume of the tank, we need to take into account the thickness of the walls. Using the formula V = πr²(h+2t), where t is the thickness of the walls, we get:

V = 3.14 x 1.2² (3.8 + 0.15 + 0.15)

= 10.09 m³

This is slightly larger than the desired volume of 10 m³, which is acceptable.

In conclusion, the size of a circular water tank with a water capacity of 10000 litres should be

## Conclusion

In conclusion, understanding how to calculate the size and capacity of a circular water tank is essential for anyone involved in designing, constructing or managing water storage systems. With the right formulas and methods, it is possible to accurately determine the desired size and capacity of a circular water tank, taking into consideration various factors such as usage, location and material. It is important to remember that these calculations are a crucial step in ensuring the efficiency and effectiveness of a water storage system, leading to optimal use of resources and ultimately contributing to sustainability. By following the guidelines and tips provided in this article, one can confidently plan and construct a circular water tank that meets the specific needs and requirements, both now and in the future.