Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : Apr 25, 2023

Are you looking for a free online calculator that computes the volume of any geometric shape? You are at the right place our handy Volume Calculator will give answers to all your questions in a short span of time. Avail the easy to operate tool to find the volume. Volume

### What is meant by Volume?

Volume is the quantity of a three dimensional space enclosed by a closed surface. The space that a substance or shape occupies is also called the volume. The SI unit of volume is cubic meter.

Volume Formulas

The formula involved in finding the volume of a shape is not same. It totally depends on the shape of the substance. Get the formulas for various shapes volume in the following sections.

The formula to calculate volume of a Capsule is V = πr²((4/3)r + a)

Circular Cone Volume formula is V = (1/3)πr²h

Conical Frustum Volume is V = (1/3)πh (r₁² + r₂² + (r₁ * r₂))

Circular Cylinder Volume formulas is V = πr²h

Cube Volume formula is V = a3

The formula of Hemisphere Volume is V = (2/3)πr3

Pyramid Volume formula is V = (1/3)a²h

Rectangular Prism volume formula is V = lwh

Sphere Volume formula is V = (4/3)πr3

Spherical Cap Volume formula is V = (1/3)πh²(3R - h)

Triangular Prism Volume formula is V = (1/4)h√[(a + b + c)(b + c -a)(c + a - b)(a + b - c)]

Ellipsoid Volume Formula is V= (4/3)πabc

### Volume of a Capsule Formula

Capsule volume, surface area and circumference formulas are given here:

• Volume of a capsule:
• = πr²((4/3)r + a)
• Surface area of a capsule:
• S = 2πr(2r + a)
• Circumference of a capsule:
• C = 2πr

Where,

r is the radius of the circle

a is the side length

### Formula to Calculate Circular Cone

Circular cone is a closed figure having circle at the bottom and two lines on the circle joins at one point. Its formulas are here.

• Volume of a Cone:
• V = (1/3)πr²h
• Slant height of a cone:
• s = √(r² + h²)
• Lateral surface area of a cone:
• L = πrs = πr√(r² + h²)
• Base surface area of a cone:
• B = πr²
• Total surface area of a cone:
• A = L + B = πrs + πr² = πr(s + r) = πr(r + √(r² + h²))

Where,

h is the height

s is slant height of cone

### Volume of Conical Frustum Formula

• Volume of a conical frustum:
• V = (1/3)πh (r₁² + r₂² + (r₁ * r₂))
• Slant height of a conical frustum:
• s = √((r₁ - r₂)² + h²)
• Lateral surface area of a conical frustum:
• S = π * (r₁ + r₂) * s = π * (r₁ + r₂) * √((r₁ - r₂)² + h²)
• Top surface area of a conical frustum (a circle):
• T = πr₁²
• Base surface area of a conical frustum (a circle):
• B = πr₂²
• Total surface area of a conical frustum:
• A = π * (r₁² + r₂² + (r₁ + r₂) * s) = π * [ r₁² + r₂² + (r₁ + r₂) * √((r₁ - r₂)² + h²) ]

Where,

r₁ is the radius of circle1

r₂ is the radius of circle2

h is height

s is slant height

### Volume of circular cylinder formula

Circular cylinder is having two circles of equal radii one on the bottom one is at the top. Two straight and parallel lines joins those circles. Its formula is

• Calculate volume of a cylinder:
• V = πr²h
• Calculate the lateral surface area of a cylinder:
• L = 2πrh
• Calculate the top and bottom surface area of a cylinder:
• T = B = πr²
• Total surface area of a closed cylinder is:
• A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)

Where,