This volume calculator is designed to help you calculate the volume of various geometric shapes with ease. Simply select the desired shape, input the necessary dimensions, and click “Calculate Volume” to obtain the result. This tool provides a quick and efficient way to perform precise volume calculations.

## Volume Calculator

Select a geometric shape and fill in the fields to calculate the volume:

## Calculating Cuboid Volume: Formula & Explanation

A cuboid is a three-dimensional rectangle with six rectangular faces.

The volume of a cuboid is calculated by multiplying the length, width, and height together.

The formula to calculate the volume of a cuboid is:

\( \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \)## Calculating Cube Volume: Formula & Explanation

A cube is a special type of cuboid where all sides are of equal length.

To find the volume of a cube, you multiply the edge length by itself three times.

The formula to calculate the volume of a cube is:

\( \text{Volume} = a^3 \), where \(a\) is the edge length.

## Calculating Sphere Volume

A sphere is a perfect three-dimensional shape where all points on the surface are equidistant from the center. The volume of a sphere is calculated using a special formula that involves the radius of the sphere.

The formula to calculate the volume of a sphere is:

\( \text{Volume} = \frac{4}{3} \pi r^3 \), where \(r\) is the radius of the sphere.

## Calculating Hemisphere Volume

A hemisphere is half of a sphere. To calculate the volume of a hemisphere, the formula for the sphere’s volume is divided by two.

The formula to calculate the volume of a hemisphere is:

\( \text{Volume} = \frac{2}{3} \pi r^3 \), where \(r\) is the radius of the hemisphere.

## Calculating Cylinder Volume

A cylinder is a three-dimensional shape with two parallel, identical circular bases. The volume of a cylinder is calculated by multiplying the area of the base by the height of the cylinder.

The formula to calculate the volume of a cylinder is:

\( \text{Volume} = \pi r^2 h \), where \(r\) is the radius of the base and \(h\) is the height.

## Calculating Cone Volume

A cone is a three-dimensional shape with a circular base that tapers to a point. The volume of a cone is calculated by dividing the volume of a cylinder with the same base and height by three.

The formula to calculate the volume of a cone is:

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

## Calculating Pyramid Volume

A pyramid is a three-dimensional shape with a polygonal base and triangular sides that converge at a point. The volume of a pyramid is calculated by multiplying the base area by the height and dividing the result by three.

The formula to calculate the volume of a pyramid is:

\( \text{Volume} = \frac{1}{3} \text{Base Area} \times \text{Height} \)

## Calculating Ellipsoid Volume

An ellipsoid is a three-dimensional shape that resembles a stretched sphere. It is described by three different semi-axes. The volume of an ellipsoid is calculated using a special formula that takes into account all three semi-axes.

The formula to calculate the volume of an ellipsoid is:

\( \text{Volume} = \frac{4}{3} \pi abc \), where \(a\), \(b\), and \(c\) are the semi-axes.

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