Technical Calculator

Tank Volume Calculator

Select the tank shape and enter its measurements. The calculator will try to determine the liquid tank volume in different units of measurement.

Tank First

The tank volume calculator is a comprehensive calculator for measuring the volume of tanks of 12 different shapes. We can calculate the volume and capacity of tanks of different shapes like horizontal, vertical, oval, etc. By the water volume calculator.

Choose between different tanks and shapes, from the standard rectangular and cylindrical tanks to the horizontal and stylish cone top tanks. In the industrial process, you may encounter tanks of vertical capsules and the frustum. The frustum-shaped tanks along with the cone bottom and can use in various industrial processes. The different shapes are used according to their application.

Common units for conversion volume:

When we measure the volume and capacity of the tanks, it is essential to know various units of volume. Then we can encounter Units that are not common. These units can be ,\(1m^{3}\),\(cm^{3}\),\(yd^{3}\), US Gallons, \( ft^{3}\), Litter. The main reason for your confusion is that these units are not from SI units and we should be able to convert them into the SI unit. In the table below we have converted all the common units of the volume into the \(1m^{3}\) to various corresponding common units of volume.

\(1m^{3}\) 1000L
\(1m^{3}\) 1000,000\(cm^{3}\)
\(1m^{3}\) 1.307\(yd^{3}\)
\(1m^{3}\) 264.172 US Gallons
\(1m^{3}\) 35.3147\( ft^{3}\)

The tank volume calculator demonstrates the result in all the above-mentioned units. You may need the volume of a cylinder in gallons or cubic yards or cubic feet during a process.

Tank Geometry and Measurements:

The tank geometry is directly related to the capacity of the tank. The geometry of the tanks may include some other measurements which are not accounted for here. But the geometric solid shapes like cylinders, circles,s, and spheres do have a shape that can be measured. The capacity and volume of a cylinder in gallons are variable along with the different geometrical shapes. You may be confused to learn so many shapes, the tank volume calculator makes the task easy for you as it is finding the values in 12 different shapes of tanks. 

Horizontal Cylinder:

The capacity of the horizontal tank can be calculated by finding the length of the tanks. The other measurement we need is the radius of the circular portions of the tanks. The formula for finding the capacity of the horizontal tanks is as follows:

Horizontal Cylinder

V(horizontal tank)=(Area)(length)

A=(πr2), length=L

V(horizontal tank) = πr2L

Example:

Consider a horizontal cylinder of length=10m and diameter is equal to 4m. We need to find the capacity of the tanks.

Sol:

The tank volume formula of horizontal cylinder:

V= (πr^2)L

Where r=d/2=4/2=2m

V=(22/7)(2)^2*10

V=125.60m3,

V=125600.0L,

V=125600,000cm3

If you volume of a cylinder in gallons then multiply the answer by the 264.172 US Gallons:

As 1m3=264.172 US Gallons

We get = (125.60)(264.172)= 33,179.81US gallons

The horizontal tank volume calculator is smart to find the capacity of the horizontal cylinder.

Vertical Cylinder:

The tank capacity calculations of the vertical tank can be calculated by finding the length of the tanks. The other measurement we need is the radius of the circular portions of the tanks. The formula for finding the capacity of the vertical tanks is as follows:

Vertical Cylinder

V(vertical tank)=(Area)(height) A=(πr2),

height=h

V(vertical tank) = πr^2hx

Example:

Consider a vertical cylinder of height=20m and diameter equal to 8m. We need to find the capacity of the tanks.

Sol: V= (πr^2)h

Where r=d/2=8/2=4m

V=(22/7)(4)^2*20

V=251.20m3,

V=251,200.0L,

V=251,200,000.0cm3

The tank volume calculator is a smart tool to find the capacity of the horizontal cylinder.

Rectangle Tank:

 

The capacity of the Rectangular tank can be calculated by finding the length, width, and length of the tanks. The formula for finding the capacity of the Rectangular tanks is as follows:

Rectangular tank

V(rectangular tank)=(Length)(Width)(Height)    

V(rectangular tank)=LWH

Example:

Consider a rectangular tank of length=10m width=5m and height=10m. We need to find the capacity of the tanks.

Sol: L=10m,

W=5m,

H=10

V=L* W * H

V=10* 5 * 10

V= 500m3

V=500m3, V=500,000.0L, V=500,000,000.0cm3

You can find the capacity of water in the tanks by inserting the values in the water volume calculator.

Horizontal Oval Tank:

The capacity of the Horizontal Oval Tank can be calculated by finding the area A, Which is the shape of the Horizontal Oval Tank. Now we find the length “L”.

The area is equal to the A=πr2 + 2ra and now the r=h/2 and the a =w-h where w>h. This condition is always true.

Horizontal Oval tank

V(tank) = (πr2 + 2ra)l

The cylinder gallon calculator is directly finding the capacity of the Horizontal Oval Tank in gallons. You may ask how to calculate water tank capacity in gallons? The calculator is automatically finding values in the gallons.

Vertical Oval Tank:

The capacity of the vertical  Oval Tank can be calculated by finding area A, Which the shape of a vertical oval shape.Now we find the length “L”.

The area is equal to the A=πr2 + 2ra and now the r=w/2 and the =h-w where h>w. This condition must always be true.
vertical  Oval tank
V(tank) = (πr2 + 2ra)l

The Vertical Oval Tank volume of a cylinder in gallons can be measured by the cylinder gallon calculator. In industrial processes, the gallon is the most common unit for the capacity of a tank.

Horizontal Capsule Tank:

We consider the sides of the Horizontal Capsule as a sphere and implement its formula. The diameter is represented by “d” and the height is “a”. Now r=d/2
 Horizontal Capsule tank
V(sphere) = (4/3)πr3, and

V(cylinder) = πr2a, therefore

V(capsule) = πr2((4/3)r + a)

The Horizontal capsule volume of a cylinder in gallons can be computed by the liquid volume calculator. This is essential to find the capacity of liquid according to the density to the corresponding volume of the tank.

Horizontal Elliptical Tank:

We do need to find the length, width and the height along with multiplying the values and dividing the whole formula by “4”.    We find the capacity of the horizontal elliptical tank by the following formula:
horizontal elliptical tank
V(H.elliptical) =(π*L*W*H)/4

The Horizontal Elliptical volume of a tank can be simplified by a water volume calculator.

Cone BottomTank:

The formula for cone bottom is the formula for the cylinder and the cone.
cone bottom tank
Cone bottom= Cone+Cylinder

Cone bottom= (1/3πr2+h)+(πr2h)

Does it make you confused about how much you can fill the Cone bottom cylinder? It is better to use a tank volume calculator to find the maximum output capacity and volume of the tank.

Cone Top Tank:

The formula for the cone top is the combination of the formula for the cylinder and the cone.
 cone top tank
Cone bottom=Cylinder Cone

Cone bottom= (πr2h)+(1/3πr2+h)  

We can find the capacity of the Cone Top Tank by a size calculator to find the maximum output capacity.

Frustum Tank:

The Frustum formula for finding the capacity and volume of the frustum is as follows:
Frustum tank
V=1/3πh((r2 + rR + R2)

You may wonder how to calculate the volume of liquid capacity in the Frustum tank. You require an efficient tank calculator for finding the capacity of the tank.

Sphere Tank:

The formula for finding the capacity and volume of the sphere tank  is as follows:
Sphere tank
v=4/3πr3

The capacity of the sphere tanks is measured by a liquid volume calculator as different liquids have various densities.

Working of Tank Volume Calculator:

The procedure of getting the values from the tank capacity calculator is simple and easy. You can find the capacity of the tanks in the most common units of the volume

Input:

  • Select the desired capacity tank from the drop-down menu
  • Enter the parameter of that particular tank in their designated fields
  • Enter filled capacity if required
  • After you are done with the stuff, tap the calculate button

Output:

The volume calculator gallons are easy to operate and you get the following result:

  • We get the result in different units of volume.
  • Displaying the capacity of the tank in different units is essential

FAQs:

What are US gallons used for?

A gallon is a unit of volume and capacity of tanks used for liquids such as gasoline, water, and milk in the United States. We can use a tank volume calculator to find the values directly in the US gallons.

Here \(1m^{3}\)=264.172 US gallons

Is Kg equal to liters?

1 KG of pure water is equal to 1 liter when reaching its maximum density equal to 1 Kg/L at a particular temperature 39.2 °F or 4 °C.

How do you calculate the water capacity of a tank in Cubic Feet?

You need to enter the values in the feet for the length,width, and height of water then multiply them. The  water volume calculator yields the values of water capacity by inserting the water measurements .

What is volume?

When we are discussing the volume, then we are measuring the substance in three dimension:

The formula for volume is Volume =(length)(width)(height)

Conclusion:

Finding the capacity of tanks especially in different geometric forms can be a difficult task. To make this industrious task easy you need to understand various geometrical shapes. Simple select the geometrical shapes from the tank volume calculator. You may also find  the capacity of the tank in different units like Gallon, Cubic yard or Cubic feet according to your requirement.

References:

From the source of Wikipedia: Gallons, Definitions, Imperial Gallons

From the source of lessonresearch.net: Measuring liquid volume , overview, Liquid volume

From the source of mathsmadeeasy.co.uk: Density Mass and Volume, Formula