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Volume of a Conical Frustum Solution

STEP 0: Pre-Calculation Summary
Formula Used
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2))
V = (1/3)*pi*h*(r1^2+r2^2+(r1*r2))
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
Radius 1 - Radius 1 is a radial line from the focus to any point of a curve. (Measured in Meter)
Radius 2 - Radius 2 is a radial line from the focus to any point of a curve. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Height: 12 Meter --> 12 Meter No Conversion Required
Radius 1: 11 Meter --> 11 Meter No Conversion Required
Radius 2: 13 Meter --> 13 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (1/3)*pi*h*(r1^2+r2^2+(r1*r2)) --> (1/3)*pi*12*(11^2+13^2+(11*13))
Evaluating ... ...
V = 5441.23847601752
STEP 3: Convert Result to Output's Unit
5441.23847601752 Cubic Meter --> No Conversion Required
FINAL ANSWER
5441.23847601752 Cubic Meter <-- Volume
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Lateral Surface Area of a Conical Frustum
lateral_surface_area = pi*(Radius 1+Radius 2)*sqrt((Radius 1-Radius 2)^2+Height^2) Go
Total Surface Area of a Cone
total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go
Lateral Surface Area of a Cone
lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go
Total Surface Area of a Cylinder
total_surface_area = 2*pi*Radius*(Height+Radius) Go
Lateral Surface Area of a Cylinder
lateral_surface_area = 2*pi*Radius*Height Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Parallelogram when base and height are given
area = Base*Height Go

11 Other formulas that calculate the same Output

Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Volume of a Rectangular Prism
volume = Width*Height*Length Go
Volume of Regular Dodecahedron
volume = ((15+(7*sqrt(5)))*Side^3)/4 Go
Volume of Regular Icosahedron
volume = (5*(3+sqrt(5))*Side^3)/12 Go
Volume of a Hemisphere
volume = (2/3)*pi*(Radius)^3 Go
Volume of a Sphere
volume = (4/3)*pi*(Radius)^3 Go
Volume of Regular Octahedron
volume = (sqrt(2))*(Side^3)/3 Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Volume of a Cube
volume = Side^3 Go

Volume of a Conical Frustum Formula

volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2))
V = (1/3)*pi*h*(r1^2+r2^2+(r1*r2))

What is Volume of a Conical Frustum?

Frustum is a Latin word which means ‘piece cut off’. A frustum may be formed from a right circular cone by cutting off the tip of the cone with a cut perpendicular to the height, forming a lower base and an upper base that are circular and parallel. Volume of a conical frustum defines the space or the capacity of it.

How to Calculate Volume of a Conical Frustum?

Volume of a Conical Frustum calculator uses volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) to calculate the Volume, The volume of a conical frustum can be defined as the quantity of three-dimensional space enclosed by a conical frustum. Volume and is denoted by V symbol.

How to calculate Volume of a Conical Frustum using this online calculator? To use this online calculator for Volume of a Conical Frustum, enter Height (h), Radius 1 (r1) and Radius 2 (r2) and hit the calculate button. Here is how the Volume of a Conical Frustum calculation can be explained with given input values -> 5441.238 = (1/3)*pi*12*(11^2+13^2+(11*13)).

FAQ

What is Volume of a Conical Frustum?
The volume of a conical frustum can be defined as the quantity of three-dimensional space enclosed by a conical frustum and is represented as V = (1/3)*pi*h*(r1^2+r2^2+(r1*r2)) or volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)). Height is the distance between the lowest and highest points of a person standing upright, Radius 1 is a radial line from the focus to any point of a curve and Radius 2 is a radial line from the focus to any point of a curve.
How to calculate Volume of a Conical Frustum?
The volume of a conical frustum can be defined as the quantity of three-dimensional space enclosed by a conical frustum is calculated using volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)). To calculate Volume of a Conical Frustum, you need Height (h), Radius 1 (r1) and Radius 2 (r2). With our tool, you need to enter the respective value for Height, Radius 1 and Radius 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Volume?
In this formula, Volume uses Height, Radius 1 and Radius 2. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • volume = pi*(Radius)^2*((4/3)*Radius+Side)
  • volume = (1/3)*pi*(Radius)^2*Height
  • volume = pi*(Radius)^2*Height
  • volume = Side^3
  • volume = (2/3)*pi*(Radius)^3
  • volume = (4/3)*pi*(Radius)^3
  • volume = (1/3)*Side^2*Height
  • volume = Width*Height*Length
  • volume = ((15+(7*sqrt(5)))*Side^3)/4
  • volume = (5*(3+sqrt(5))*Side^3)/12
  • volume = (sqrt(2))*(Side^3)/3
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