## Tank Volume Calculator With this tank volume calculator, you can easily estimate what the volume of your container is. Choose between nine different tank shapes: from standard rectangular and cylindrical tanks, to capsule and elliptical tanks. You can even find the volume of a frustum in cone bottom tanks. Just enter the dimensions of your container and this tool will calculate the total tank volume for you. You may also provide the fill height, which will be used to find the filled volume. Do you wonder how it does it? Scroll down and you'll find all the formulas needed - the volume of a capsule tank, elliptical tank, or the widely-used cone bottom tanks sometimes called conical tanksas well as many more! Looking for other types of tanks, in different shapes and for other applications? Check out our volume calculator to find the volume of the most common three-dimensional solids. For something more specialized you can also have a glance at the aquarium and pool volume calculators for solutions to everyday volume problems. This tank volume calculator is a simple tool which helps you find the volume of the tank as well as the volume of the filled part. You can choose between ten tank shapes:. Let's have a look at a simple example:. To calculate the total volume of a cylindrical tank, all we need to know is the cylinder diameter or radius and the cylinder height which may be called length, if it's lying horizontally. The total volume of a cylindrical tank may be found with the standard formula for volume - the area of the base multiplied by height. Therefore the formula for a vertical cylinder tanks volume looks like:. If we want to calculate the filled volume, we need to find the volume of a "shorter" cylinder - it's that easy! The total volume of a horizontal cylindrical tank may be found in analogical way - it's the area of the circular end times the length of the cylinder:. Things are getting more complicated when we want to find the volume of the partially filled horizontal cylinder. First, we need to find the base area: the area of the circular segment covered by the liquid:. If the cylinder is more than half full then it's easier to subtract the empty tank part from the total volume. If you're wondering how to calculate the volume of a rectangular tank also known as cuboid, box or rectangular hexahedronlook no further! You may know this tank as a rectangular tank - but that is not its proper name, as a rectangle is a 2D shape, so it doesn't have a volume. If you want to know what the volume of the liquid in a tank is, simply change the height variable into filled in the rectangular tank volume formula:. For this tank volume calculator, it doesn't matter if the tank is in a horizontal or vertical position. Just make sure that filled and height are along the same axis. Our tool defines a capsule as two hemispheres separated by a cylinder. To calculate the total volume of a capsule, all you need to do is add the volume of the sphere to the cylinder part:. As the hemispheres on either end of the tank are identical, they form a spherical cap - add this part to the part from the horizontal cylinder check the paragraph above to calculate the volume of the liquid:. In our calculator, we define an oval tank as a cylindrical tank with an elliptical end not in the shape of a stadium, as it is sometimes defined. To find the total volume of an elliptical tank, you need to multiply the ellipsis area times length of the tank:. Finally, another easy formula! Unfortunately, finding the volume of a partially filled tank - both in the horizontal and vertical positions - is not so straightforward. You need to use the formula for the ellipse segment area and multiply the result times length of the tank:.

## Volume of a Conical Cylinder Calculator Liquid Height. The tank size calculator on this page is designed for measuring the capacity of a variety of fuel tanks. Alternatively, you can use this tank volume calculator as a water volume calculator if you need to calculate some specific water volume. The functionality of this calculator will meet the needs of any people. A tank volume calculator, also known as a tank size calculator, is a quick and easy way to convert the height, width and length of your tank into a volume format. Once you have these calculations, you can create a handy chart for later. A classic problem faced by anyone who owns a home aquarium is how to calculate the volume of your fish tank so that you know the proper amount of food to add to the tank, as well as the appropriate fish stocking level. Classic uses for these two types of cylindrical tanks include using them to store fuel, oxygen or oil. In the case of the horizontal cylindrical tank, you need to calculate the area of a cross-section of the tank and then multiply this figure by the total length of the tank. In the case of the vertical cylindrical tank, you need to perform the same type of measurement. However, since the tank is standing upright rather than lying on its side, you would replace the total length of the tank by the total height of the tank. The final example is a capsule tank, which is a type of tank with curvatures on both ends. This type resembles a pill that you might ingest. A classic example of a capsule tank is an expansion tank, which is a small tank used to protect closed heating systems and domestic hot water systems from excessive pressure. Just remember to convert your final measurement into the proper unit of volume for your tank mix calculator e. The U. Measurement Inches Ft millimeters centimeters meters. Enter vertical cylindrical tank dimensions: Diameter. Enter rectangular tank dimensions: Length. Enter horizontal oval tank dimensions: Length. Enter vertical oval tank dimensions: Length. Enter horizontal capsule tank dimensions: Side Length. Enter vertical capsule tank dimensions: Side Length.

## How do I find the volume and weight of a conical tank filled with water? Water is leaking out of an inverted conical tank at a rate of 10, at the same time water is being pumped into the tank at a constant rate. The tank has a height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 when the height of the water is 2 mfind the rate at which water is being pumped into the tank. Here we have another related rates problem. This is a pretty typical problem you would see in a calculus class. There is a lot going on in this one since we have a related rates with a cone filling and leaking water. Just like I said when I discussed related ratesthese problems tend to follow a specific pattern. If you need a refresher on what the four steps are just click that link to my related rates lesson. Other than that, the other facts are quite simple. The important thing to point out about our sketch is that we have two cones here. One cone is the tank, which is the larger cone. This one will always stay the same size and is not changing. This means that its height, diameter of the base, and its volume are all constants. The second cone is the water sitting in the bottom of the tank, which is the smaller cone. This one is changing as our liquid flows into and out of the tank. As time passes its dimensions change. Therefore, its height, diameter of the base, and volume are all functions of time. All of the information we know about and the information we are looking for relates to a volume or measurements of some cone. The measurements are either of our water in the tank or the tank itself, but in both cases the measurements describe a cone. The question asks us to find the rate at which water is being pumped into the tank. As it is pumped into the tank, this will impact the volume of the smaller cone which is the water sitting in the tank. Therefore, the information we are looking for will somehow relate to how quickly the volume of the liquid in the tank is changing. Or the rate of change of the volume of the small cone.