Height 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%
✖Base Radius of Cone is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone.ⓘ Base Radius of Cone [r_Base]			+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 given Volume [h]

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Height of Cone given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Cone = (3*Volume of Cone)/(pi*Base Radius of Cone^2)
h = (3*V)/(pi*r_Base^2)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Base Radius of Cone - (Measured in Meter) - Base Radius of Cone is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone.

STEP 1: Convert Input(s) to Base Unit

Volume of Cone: 520 Cubic Meter --> 520 Cubic Meter No Conversion Required
Base Radius of Cone: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (3*V)/(pi*r_Base^2) --> (3*520)/(pi*10^2)

Evaluating ... ...

h = 4.96563422446713

STEP 3: Convert Result to Output's Unit

4.96563422446713 Meter --> No Conversion Required

FINAL ANSWER

4.96563422446713 ≈ 4.965634 Meter <-- Height of Cone

(Calculation completed in 00.004 seconds)

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Created by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

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< Height of Cone Calculators

Height of Cone given Volume and Base Circumference

LaTeX Go Height of Cone = (12*pi*Volume of Cone)/(Base Circumference of Cone^2)

Height of Cone given Slant Height

LaTeX Go Height of Cone = sqrt(Slant Height of Cone^2-Base Radius of Cone^2)

Height of Cone given Volume

LaTeX Go Height of Cone = (3*Volume of Cone)/(pi*Base Radius of Cone^2)

Height of Cone given Volume and Base Area

LaTeX Go Height of Cone = (3*Volume of Cone)/Base Area of Cone

< Height of Cone Calculators

Height of Cone given Total Surface Area

LaTeX Go Height of Cone = sqrt((Total Surface Area of Cone/(pi*Base Radius of Cone)-Base Radius of Cone)^2-Base Radius of Cone^2)

Height of Cone given Lateral Surface Area

LaTeX Go Height of Cone = sqrt((Lateral Surface Area of Cone/(pi*Base Radius of Cone))^2-Base Radius of Cone^2)

Height of Cone given Volume

LaTeX Go Height of Cone = (3*Volume of Cone)/(pi*Base Radius of Cone^2)

Height of Cone given Volume and Base Area

LaTeX Go Height of Cone = (3*Volume of Cone)/Base Area of Cone

Height of Cone given Volume Formula

LaTeX Go

Height of Cone = (3*Volume of Cone)/(pi*Base Radius of Cone^2)
h = (3*V)/(pi*r_Base^2)

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 Height of Cone given Volume?

Height of Cone given Volume calculator uses Height of Cone = (3*Volume of Cone)/(pi*Base Radius of Cone^2) to calculate the Height of Cone, Height of Cone given Volume formula is defined as the distance between the apex of the Cone to the center of the circular base, and calculated using the volume of the Cone. Height of Cone is denoted by h symbol.

How to calculate Height of Cone given Volume using this online calculator? To use this online calculator for Height of Cone given Volume, enter Volume of Cone (V) & Base Radius of Cone (r_Base) and hit the calculate button. Here is how the Height of Cone given Volume calculation can be explained with given input values -> 4.965634 = (3*520)/(pi*10^2).

FAQ

What is Height of Cone given Volume?

Height of Cone given Volume formula is defined as the distance between the apex of the Cone to the center of the circular base, and calculated using the volume of the Cone and is represented as h = (3*V)/(pi*r_Base^2) or Height of Cone = (3*Volume of Cone)/(pi*Base Radius of Cone^2). Volume of Cone is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cone & Base Radius of Cone is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone.

How to calculate Height of Cone given Volume?

Height of Cone given Volume formula is defined as the distance between the apex of the Cone to the center of the circular base, and calculated using the volume of the Cone is calculated using Height of Cone = (3*Volume of Cone)/(pi*Base Radius of Cone^2). To calculate Height of Cone given Volume, you need Volume of Cone (V) & Base Radius of Cone (r_Base). With our tool, you need to enter the respective value for Volume of Cone & Base Radius 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 Height of Cone?

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

Height of Cone = sqrt(Slant Height of Cone^2-Base Radius of Cone^2)
Height of Cone = (3*Volume of Cone)/Base Area of Cone
Height of Cone = (12*pi*Volume of Cone)/(Base Circumference of Cone^2)

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