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Volume of a Circular Cone Solution

STEP 0: Pre-Calculation Summary
Formula Used
volume = (1/3)*pi*(Radius)^2*Height
V = (1/3)*pi*(r)^2*h
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Centimeter)
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Radius: 18 Centimeter --> 0.18 Meter (Check conversion here)
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (1/3)*pi*(r)^2*h --> (1/3)*pi*(0.18)^2*12
Evaluating ... ...
V = 0.407150407905237
STEP 3: Convert Result to Output's Unit
0.407150407905237 Cubic Meter --> No Conversion Required
FINAL ANSWER
0.407150407905237 Cubic Meter <-- Volume
(Calculation completed in 00.032 seconds)

11 Other formulas that you can solve using the same Inputs

Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Surface Area of a Capsule
surface_area = 2*pi*Radius*(2*Radius+Side) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Area of a Circle when radius is given
area_of_circle = pi*Radius^2 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 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 Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) 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 Circular Cone Formula

volume = (1/3)*pi*(Radius)^2*Height
V = (1/3)*pi*(r)^2*h

What is Volume of a Circular Cone?

In general, a cone is a pyramid with a circular cross-section. A right cone is a cone with its vertex above the center of the base. It is also called right circular cone. The volume of a circular cone defines the space or the capacity of the cone. The capacity of a cone is one-third of the capacity of the cylinder.

How to Calculate Volume of a Circular Cone?

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

How to calculate Volume of a Circular Cone using this online calculator? To use this online calculator for Volume of a Circular Cone, enter Radius (r) and Height (h) and hit the calculate button. Here is how the Volume of a Circular Cone calculation can be explained with given input values -> 0.40715 = (1/3)*pi*(0.18)^2*12.

FAQ

What is Volume of a Circular Cone?
The volume of a circular cone can be defined as the quantity of three-dimensional space enclosed by a circular cone and is represented as V = (1/3)*pi*(r)^2*h or volume = (1/3)*pi*(Radius)^2*Height. Radius is a radial line from the focus to any point of a curve and Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Volume of a Circular Cone?
The volume of a circular cone can be defined as the quantity of three-dimensional space enclosed by a circular cone is calculated using volume = (1/3)*pi*(Radius)^2*Height. To calculate Volume of a Circular Cone, you need Radius (r) and Height (h). With our tool, you need to enter the respective value for Radius and Height 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 Radius and Height. 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 = 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 = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2))
  • 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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