Base Circumference of Cone given Volume Calculator

✖Volume of Cone is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cone.ⓘ Volume of Cone [V]			+10% -10%
✖Height of Cone is defined as the distance between the apex of the Cone to the center of its circular base.ⓘ Height of Cone [h]			+10% -10%

✖Base Circumference of Cone is the total length of the boundary of the base circular surface of the Cone.ⓘ Base Circumference of Cone given Volume [C_Base]

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Base Circumference of Cone given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Circumference of Cone = 2*pi*sqrt((3*Volume of Cone)/(pi*Height of Cone))
C_Base = 2*pi*sqrt((3*V)/(pi*h))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Base Circumference of Cone - (Measured in Meter) - Base Circumference of Cone is the total length of the boundary of the base circular surface of the Cone.
Volume of Cone - (Measured in Cubic Meter) - Volume of Cone is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cone.
Height of Cone - (Measured in Meter) - Height of Cone is defined as the distance between the apex of the Cone to the center of its circular base.

STEP 1: Convert Input(s) to Base Unit

Volume of Cone: 520 Cubic Meter --> 520 Cubic Meter No Conversion Required
Height of Cone: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_Base = 2*pi*sqrt((3*V)/(pi*h)) --> 2*pi*sqrt((3*520)/(pi*5))

Evaluating ... ...

C_Base = 62.6155542311977

STEP 3: Convert Result to Output's Unit

62.6155542311977 Meter --> No Conversion Required

FINAL ANSWER

62.6155542311977 ≈ 62.61555 Meter <-- Base Circumference of Cone

(Calculation completed in 00.004 seconds)

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< Base Circumference of Cone Calculators

Base Circumference of Cone given Volume

LaTeX Go Base Circumference of Cone = 2*pi*sqrt((3*Volume of Cone)/(pi*Height of Cone))

Base Circumference of Cone given Base Area

LaTeX Go Base Circumference of Cone = 2*sqrt(pi*Base Area of Cone)

Base Circumference of Cone given Lateral Surface Area and Slant Height

LaTeX Go Base Circumference of Cone = 2*Lateral Surface Area of Cone/Slant Height of Cone

Base Circumference of Cone

LaTeX Go Base Circumference of Cone = 2*pi*Base Radius of Cone

< Base Circumference of Cone Calculators

Base Circumference of Cone given Volume

LaTeX Go Base Circumference of Cone = 2*pi*sqrt((3*Volume of Cone)/(pi*Height of Cone))

Base Circumference of Cone given Base Area

LaTeX Go Base Circumference of Cone = 2*sqrt(pi*Base Area of Cone)

Base Circumference of Cone given Lateral Surface Area and Slant Height

LaTeX Go Base Circumference of Cone = 2*Lateral Surface Area of Cone/Slant Height of Cone

Base Circumference of Cone

LaTeX Go Base Circumference of Cone = 2*pi*Base Radius of Cone

Base Circumference of Cone given Volume Formula

LaTeX Go

Base Circumference of Cone = 2*pi*sqrt((3*Volume of Cone)/(pi*Height of Cone))
C_Base = 2*pi*sqrt((3*V)/(pi*h))

What is a Cone?

A Cone is obtained by rotating a line inclined at a fixed acute angle from a fixed axis of rotation. The sharp tip is called the apex of the Cone. If the rotating line is crossing the axis of rotation, then the resulting shape is a double-napped Cone - two oppositely placed Cones joined on the apex. Cutting a Cone by a plane will result in some important two-dimensional shapes like circles, ellipses, parabolas, and hyperbolas, depending on the angle of cutting.

How to Calculate Base Circumference of Cone given Volume?

Base Circumference of Cone given Volume calculator uses Base Circumference of Cone = 2*pi*sqrt((3*Volume of Cone)/(pi*Height of Cone)) to calculate the Base Circumference of Cone, Base Circumference of Cone given Volume formula is defined as the total length of the boundary of the base circular surface of the Cone, and calculated using the volume of the Cone. Base Circumference of Cone is denoted by C_Base symbol.

How to calculate Base Circumference of Cone given Volume using this online calculator? To use this online calculator for Base Circumference of Cone given Volume, enter Volume of Cone (V) & Height of Cone (h) and hit the calculate button. Here is how the Base Circumference of Cone given Volume calculation can be explained with given input values -> 62.61555 = 2*pi*sqrt((3*520)/(pi*5)).

FAQ

What is Base Circumference of Cone given Volume?

Base Circumference of Cone given Volume formula is defined as the total length of the boundary of the base circular surface of the Cone, and calculated using the volume of the Cone and is represented as C_Base = 2*pi*sqrt((3*V)/(pi*h)) or Base Circumference of Cone = 2*pi*sqrt((3*Volume of Cone)/(pi*Height of Cone)). Volume of Cone is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cone & Height of Cone is defined as the distance between the apex of the Cone to the center of its circular base.

How to calculate Base Circumference of Cone given Volume?

Base Circumference of Cone given Volume formula is defined as the total length of the boundary of the base circular surface of the Cone, and calculated using the volume of the Cone is calculated using Base Circumference of Cone = 2*pi*sqrt((3*Volume of Cone)/(pi*Height of Cone)). To calculate Base Circumference of Cone given Volume, you need Volume of Cone (V) & Height of Cone (h). With our tool, you need to enter the respective value for Volume of Cone & Height of Cone 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 Base Circumference of Cone?

In this formula, Base Circumference of Cone uses Volume of Cone & Height of Cone. We can use 3 other way(s) to calculate the same, which is/are as follows -

Base Circumference of Cone = 2*pi*Base Radius of Cone
Base Circumference of Cone = 2*sqrt(pi*Base Area of Cone)
Base Circumference of Cone = 2*Lateral Surface Area of Cone/Slant Height of Cone

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