![]() ![]() ![]() The idea came to him when he was taking a bath - stepping into a bathtub, he noticed that the water level rose. If it's an irregular shape, you can try to do the very thing that caused Archimedes to shout the famous word Eureka! Probably you heard that story - Archimedes was asked to find out if the Hiero's crown is made from pure gold or just gold-plated - but without bending or destroying it. For a right triangular prism, the equation can be easily derived, as well as for a right rectangular prism, which is apparently the same shape as a box.įor regular three-dimensional objects, you can easily calculate the volume by taking measurements of its dimensions and applying the appropriate volume equation. Prism = A h Ah A h, where A A A is a base area and h h h is the height. For a pyramid with a regular base, another equation may be used as well: Pyramid = ( n / 12 ) h s 2 cot ( π / n ) (n/12) h s^2 \cot(\pi/n) ( n /12 ) h s 2 cot ( π / n ), where n n n is a number of sides s s s of the base for a regular polygon. Pyramid = ( 1 / 3 ) A h (1/3)Ah ( 1/3 ) A h where A A A is a base area and h h h is the height. Rectangular solid (volume of a box) = l w h lwh lw h, where l l l is the length, w w w is the width and h h h is the height (a simple pool may serve as an example of such shape). Sphere = ( 4 / 3 ) π r 3 (4/3)\pi r^3 ( 4/3 ) π r 3, where r r r is the radius.Ĭylinder = π r 2 h \pi r^2h π r 2 h, where r r r is the radius and h h h is the height.Ĭone = ( 1 / 3 ) π r 2 h (1/3)\pi r^2h ( 1/3 ) π r 2 h, where r r r is the radius and h h h is the height. Here are the formulas for some of the most common shapes:Ĭube = s 3 s^3 s 3, where s s s is the length of the side. As always, you can change the units by clicking on the volume units themselves.There is no simple answer to this question, as it depends on the shape of the object in question. In our example, they are equal to 32 i n 32\ \mathrm 54.8 USgal. In our case, we need to type in the length and diameter. The schematic picture of the tank will appear below make sure it's the one you want!Įnter the tank dimensions. Let's assume that we want to find the volume of a vertical cylinder tank – choose that option from the drop-down list. Let's have a look at a simple example:ĭecide on the shape. "But how do I use this tank volume calculator?", you may be asking. Frustum (truncated cone, funnel-shaped).This tank volume calculator is a simple tool that helps you find the volume of the tank as well as the volume of the filled part. For something more specialized, you can also have a glance at the aquarium calculator and pool volume calculators for solutions to everyday volume problems. You may also provide the fill height, which will be used to find the filled volume.ĭo you wonder how it does it? Scroll down, and you'll find all the formulas you need – the volume of a capsule tank, elliptical tank, or the widely-used cone bottom tanks (sometimes called conical tanks), as well as many more!Īre you 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. Just enter the dimensions of your container, and this tool will calculate the total tank volume for you. You can even find the volume of a frustum in cone bottom tanks. Choose between ten different tank shapes: from standard rectangular and cylindrical tanks to capsule and elliptical tanks. With this tank volume calculator, you can easily estimate the volume of your container. ![]()
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