Volume Calculator - Calculatorall.com
This volume calculator can be used for the calculation of volume for different common shapes. Just enter the corresponding values as mentioned and get the accurate results. Volume actually quantifies a 3D space occupied by a substance. It is expressed in cubic meter or m3. In simple terms, volume of some container can be described as its capacity to hold some fluid instead of the space that it occupies. The containers can have different shapes and their volumes can be calculated using different formulas. Let's take a look at some common shapes and the formulas used for calculating their volumes.
Ball Volume Calculator
Cone Volume Calculator
Cube Volume Calculator
Cylindrical Tank Volume Calculator
Capsule Volume Calculator
Square Pyramid Volume Calculator
Rectangular Tank Volume Calculator
Conical Frustum Volume Calculator
Ellipsoid Volume Calculator
A sphere, basically, represents 3D alternative to 2D circle. It's perfectly round and is a set of some points equidistant from the given central point. The distance between these points and the central point is referred to as radius. The equation that is used for the calculation of volume of sphere is:
volume = 4 / 3 Πr3
This volume calculator requires you to enter the radius only and the sphere's volume will be calculated right away.
Cone
Mathematically speaking, cone is made in similar way as a circle, by connecting line segments to one common point. However, the center point isn't located in same plane as the circle. This calculator only considers finite right-circular cones and uses following equation for the calculation of volume.
volume = 1 / 3 Πr2h
where r is radius and h is height of the cone
You have to enter the values for base radius and height to calculate volume of the cone using this calculator. Also select appropriate units from the lists for each.
Cube
It's a 3D analog for a square that is bounded by 6 different square faces. Cubes can be taken as special case for many different geometrical shapes. Here's the equation for calculating cube's volume.
volume = a3
where a is edge length of the cube
This volume calculator only needs you to enter the edge length and calculates the volume of the desired cube for you.
Cylinder
Cylinders are usually defined as surfaces formed with points present at fixed specified distance from a straight line axis. The common use cylinders are, however, right-circular cylinders in which bases are circles that are connected through the centers with a perpendicular axis to planes of the bases. Here is the equation for the calculation of cylinder's volume.
volume = Πr2h
where r is radius and h is height of the tank
In this volume calculator, you have to enter base radius and height for calculating the volume. Make sure that you select appropriate units as well.
Cylinder
Capsule shaped containers consist of one cylinder and a couple of hemispherical ends. The volume for capsules is calculated by the combination of equations for right-circular cylinder and sphere. Here’s the equation for capsule’s volume:
volume = Πr2h + Πr3 = Πr2(4 / 3 r + h)
where r is the radius while h is height of cylindrical portion
This calculator here needs you to enter base radius and height for performing the calculation.
Capsule
Capsule shaped containers consist of one cylinder and a couple of hemispherical ends. The volume for capsules is calculated by the combination of equations for right-circular cylinder and sphere. Here's the equation for capsule's volume:
volume = Πr2h + Πr3 = Πr2(4 / 3 r + h)
where r is the radius while h is height of cylindrical portion
This calculator here needs you to enter base radius and height for performing the calculation.
Square Pyramid
Pyramids are 3D solids that are made by connecting polygonal base and a point called the apex. Polygon is actually a shape that is bounded by finite line segments in a plane. In case of square pyramids, we have a square base. Here is how the volume of square pyramids is calculated.
volume = 1/ 3 a2h
where a is the length of base's edge
This volume calculator requires you to enter base radius and height for calculating the volume of square pyramid.
Rectangular Tank
It's, basically, a cube's generalized form in which the lengths of the sides vary. There are six faces to bind the shape and three of them meet at the vertices while all of them are at a right angle to respective adjacent faces. Here is the equation to use for calculating rectangle's volume.
volume= length * width * height
The calculator here requires you to enter the values for length, width and height to perform the calculation.
Conical Frustum
Conical frustum refers to a part of solid that remains after cutting the cone by parallel planes. The calculator here can be used for the calculation of right-circular cones only. Here is the equation used for calculating the volume of this shape.
volume = 1 / 3Πh(r2 + rR + R2)
where r and R are radii of bases, h is height of frustum
You have to provide the two radii and height of the conical frustum to calculate its volume. Also select appropriate units for all the three values you have to enter.
Ellipsoid
It is actually ellipse's 3D counterpart. This surface can be considered as a deformed sphere obtained by scaling its directional elements. In order to calculate the volume of Ellipsoid, following equation is used.
volume = 4 / 3Πabc
where a, b, and c are the lengths of the axes
You have to enter all the three axis and appropriate units for calculating the volume of an Ellipsoid using this volume calculator.