# Volume Calculator for Cylinder, Sphere, Cone, Frustum, Cuboid, Pyramid

## Volume of Cube Calculator ## Volume of Sphere Calculator ## Volume of Cylinder Calculator ## Volume of Cone Calculator ## Volume of Capsule Calculator ## Volume of Square Base Pyramid ## Volume of Tank/Cuboid Calculator ## Volume of Frustum Calculator ## Volume of Ellipsoid Calculator ## How to use volume calculator?

1. Select the object for which you want to calculate the volume.
2. For ease, we have provided figures above each calculator.
3. Now, input the value for the dimension of an object like length, width, height, radius, etc according to the calculator.
4. Choose the unit for different dimensions from the drop-down list.
5. Click on calculate button to get the volume of a different object in a different unit.
6. Enjoy accurate value and rapid calculation in the volume calculator.

## About Volume Calculator

Volume Calculator is the tool that helps you to calculate the volume of different objects like cylinders, Sphere, Cone, Frustum, Cuboid, Pyramid, etc. It makes it easy to calculate rapidly when we have dimensions of different objects with different units.

Volume calculator can be used by students, teachers, or general people who require to calculate the volume of different geometrical shapes for a different purposes.

## 1) Cylinder

Definition:

A cylinder is a three-dimensional shape with two round shapes at both ends and two parallel lines connecting the round ends.

Formula to calculate the volume of Cylinder (V) =  𝜋𝑟2h

where, r = radius of the circle

h = height of the cylinder

How to calculate volume of Cylinder?

Example:  let us consider a cylinder with radius(r) = 2 cm, and height(h) = 8 cm, the volume of a cylinder can be calculated by

Solution,

We know that, volume of a cylinder  = 𝜋𝑟2h

= (22/7) x 22 x 8 𝑐𝑚3

.’. Volume of the given cylinder = 100.57 𝑐𝑚3

## 2) Cube

Definition

A cube is a three-dimensional solid object bounded by six square faces, twelve edges and eight vertices all placed at right angle, each vertex is a meeting point of 3 faces.

Formula to calculate the volume of Cube (V) = a3

Where, a = length of side

How to calculate volume of Cube?

Example:

Let us consider a cube, with its vertices of length 3cm, the volume of a cube can be calculated by

Solution,

We know that volume of a cube = a3

= (3cm)3 = 27 𝑐𝑚3

.’. Volume of the given cube = 27 cm3

## 3) Cone

Definition

A cone is a three-dimensional solid shape that goes narrow slightly progressive from a circle base to an ending point called apex.

Formula to calculate the volume of Cone (V) = 13𝜋𝑟2h

Where, r = radius of the circle and

h = height of the cone

How to calculate volume of Cone?

Example:

let us consider a cone with radius(r) = 3cm and height (h) = 8cm, the volume of the given cone can be calculated by

Solution,

We know that volume of a cone = 13𝜋𝑟2h

= 13 x (22/7) x 32 x 8 𝑐𝑚3

.’. Volume of the given cube = 75.4 cm3

## 4) Sphere

Definition

A regular three-dimensional object in which every cross-section is a circle, the figure is described by the revolution of a circle about its diameter.

Formula to calculate the volume of Sphere (V) = (4/3).𝜋𝑟3

Where, r = radius of the sphere

How to calculate volume of Sphere?

For example: let us consider a sphere with a radius(r) = 5cm, the volume of the sphere can be calculated by

Solution,

We know that volume of a sphere = (4/3)𝜋𝑟3

= (4/3) x (22/7) x 53 𝑐𝑚3

.’.  The volume of the given sphere = 523.6 cm3

## 5) Cuboid

Definition

A cube is a three-dimensional solid shape having 6 rectangular faces, in which each is placed at a right angle.

Formula to calculate the volume of Cuboid (V) = lxbxh

where, l = length

h = height

How to calculate volume of Cuboid?

For example: let us consider a cuboid with a length of 10cm, breadth of 3cm, and height of 5cm, its volume can be calculated by

Solution,

We know that volume of a cuboid = lxbxh

= 10cm x 3cm x 5cm

.’. Volume of the given cuboid = 150 cm3

## 6) Capsule

Definition

It is a three-dimensional solid shape having two hemispheres on both ends of a cylinder.

Formula to calculate the volume of Capsule (V),

where, r = radius of the base(hemisphere)

a = height of the cylinder only

How to calculate volume of Capsule?

Example: let us consider a capsule with hemisphere radius(r) = 2cm and cylinder height (a) = 8cm, its volume can be calculated by

Solution,

We know that volume of a capsule = 𝜋𝑟2(4/3.𝑟+𝑎)

= (22/7) x 2𝑐𝑚 x {(4/3) . 2𝑐𝑚+8𝑐𝑚}

.’. Volume of the given capsule = 134.04 cm3

## 7) Hemisphere

Definition

Hemisphere can be defined as half of the celestial sphere, as divided by either the ecliptic or the celestial equator.

Formula to calculate the volume of Hemisphere (V) = 2/3.𝜋𝑟3

where, r = radius of hemisphere

How to calculate volume of hemisphere?

Example: let us consider a hemisphere with radius(r) = 5cm , so the volume can be calculated by

Solution,

We know that volume of a hemisphere = 2/3.𝜋𝑟3

= 2/3 x (22/7) x 53 cm3

= 216 cm3

.’. The volume of the given hemisphere = 216 cm3

## 8) Conical Frustum

Definition

A conical frustum can be defined as a cone or pyramid whose tip has been cut off or truncated by a plane parallel to its base.

Formula to calculate the volume of Conical Frustum (V),

= (1/2).𝜋h.(𝑅2+𝑟2+𝑅𝑟)

where, h = height

R = radius of the bigger circle(base)

r =  radius of the smaller circle

How to calculate volume of frustum?

Example: let us consider a conical frustum with its base radius(R) = 10cm, its upper surface radius(r) = 4cm and height(h) = 12cm, its volume can be calculated by

Solution,

We know that volume of a conical frustum = (1/2).𝜋h.(𝑅2+𝑟2+𝑅𝑟)

= 1/2 x 22/7 x 12 {102+42+10⋅4}

= 1960.35 cm3

.’. Volume of the conical frustum = 1960.35 cm3

## 9) Ellipsoid

Definition

Ellipsoid can be defined as a surface, all of whose cross-sections are elliptic or circular (including the sphere).

Formula to calculate the volume of Ellipsoid (V) =  4/3.𝜋𝑎𝑏𝑐

where, a, b and c are semi-axis

How to calculate volume of Ellipsoid?

Example: let us consider an ellipsoid of semi axis (a) = 4cm, semi axis(b) = 3cm and another semi(c) = 2cm, its volume can be calculated by

Solution,

We know that volume of an ellipsoid = 4/3.𝜋𝑎𝑏𝑐

= 4/3 x (22/7)⋅4𝑐𝑚⋅3𝑐𝑚⋅2𝑐𝑚

= 100.53cm3

.’. Volume of the given ellipsoid = 100.53 cm3

## 10) Square base pyramid

Definition

Square base pyramids can be defined as a three-dimensional figures with a polygonal base and triangular side reaching up to a point called the apex.

Formula to calculate the volume of Squired-based Pyramid (V) = 𝑎2h/3

where, a = edge of the base

h = height of the pyramid

How to calculate volume of suared base pyramid?

Example: let us consider a square based pyramid with base (a) = 9cm and height(h)= 15cm, its volume can be calculated by

Solution,

We know that volume of a square-based pyramid = 𝑎2h/3

= (92 x 15)/3 = 405 cm3

.’. The volume of the given square base pyramid = 405 cm3

## 11) Triangular base pyramid

Definition

A triangular base pyramid can be defined as a three-dimensional solid whose base is a triangle and whose side faces are triangles having a common vertex.

Formula to calculate the volume of Triangular base Pyramid (V) = 1/6.𝑏𝐻h

where, b = breadth of the triangle in base

H = height of triangle in base

h = height of triangle on vertex

How to calculate volume of triangular base pyramid?

For example: let us consider a triangle base pyramid with the breadth of the triangle in bae (b) = 7cm,  height of triangle in base(H) = 8cm, and height of triangle on the vertex(h) = 9cm, its volume can be calculated by

Solution,

We know that volume of a triangle base pyramid = 1/6.𝑏𝐻h

=(1/6)⋅7𝑐𝑚⋅8𝑐𝑚⋅9𝑐𝑚 = 84 cm2

.’. Volume of the given triangle base pyramid is = 84 cm2

## 12) Rectangular base pyramid

Definition

Rectangular base pyramids can be defined as a three-dimensional figures with a rectangular base and a triangular side reaching up to towards a point called the apex.

Formula to calculate the volume of Rectangular base Pyramid (V) =  𝑙𝑤h/3

where, l= length of the base of the pyramid

w = width of the base of the pyramid

h = height of the pyramid

How to calculate volume of rectangular base pyramid?

Example: let us consider a rectangular base pyramid with length(l) = 10cm , width(w)= 7cm and height(h) =9cm, its volume can be calculated by

Solution,

We know that volume of a rectangular base pyramid = 𝑙𝑤h/3

= (10𝑐𝑚⋅7𝑐𝑚⋅9𝑐𝑚)/3

.’. The volume of a given rectangular base pyramid = 210 cm3

I hope the volume calculator remains helpful for you.

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