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Volume Calculator

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Volume calculator will determine the volume of the most common geometric solids.

What is Volume?

Volume is the amount of total space on the interior of the solid. Knowing the definition of volume, we can now focus on the formulas for volume of common geometric solids. Using these formulas manually won’t be difficult, but for fast, accurate results every time, use the volume calculator.

Formulas for volume:

Cone = \((\frac{1}{3})\pi r^{2}h\), where r is the radius and h is the height.

Cube = \(s^{2}\), where s is the length of the side.

Cylinder = \(\pi r^{2}h\), where r is the radius and h is the height.

Rectangular prism= \(l\times w\times h\), where l is the length, w is the width and h is the height.

Sphere = \((\frac{4}{3})\pi r^{3}\), where r is the radius.

Simply enter the dimensions into the calculator to find the volume.  The units for volume will always be cubed, as compared to square units for surface area.

Calculating the Volume of a Cube Example

Here’s an example for calculating the volume of a cube.

For this example, suppose the side length of the cube is 5 cm. Then the volume is simply \(5\times 5\times 5=125\) cubic centimeters.

Let’s take a look at another example. Suppose you want the volume of a cone with a height of 4 cm and radius of 3 cm.

Volume = \((\frac{1}{3})\pi(3)^{2}(4)=12\pi\) cubic centimeters

One might wonder where this calculator will be useful in a real-life setting. It’s very important in terms of architecture and construction

Related Topics of Interest

There are many applications in real life where the volume calculator is useful. One such instance is in road or pavement construction where slabs of concrete must be built. Generally concrete slabs are rectangular solids, so the rectangular prism calculator can be used.

Sticking with the construction theme, surface area is important when determining the amount of tile to put on a rectangular floor, of wallpaper on a wall or the amount of paint needed to cover the total surface of a building.

All of these calculations can be done manually, but in the real world, time is of the essence when completing a project. Therefore, a calculator that will solve these problems are volume and surface area are essential. Try ours today!