Volume of Bicone given Surface Area and Diameter Calculator

✖Diameter of Bicone is a straight line passing from side to side through the center of the Bicone.ⓘ Diameter of Bicone [D]			+10% -10%
✖Surface Area of Bicone is defined as the measure of the total 2d space occupied by all the faces of the Bicone.ⓘ Surface Area of Bicone [SA]			+10% -10%

✖Volume of Bicone is the amount of three-dimensional space occupied by the closed surface of Bicone.ⓘ Volume of Bicone given Surface Area and Diameter [V]

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Formula

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Volume of Bicone given Surface Area and Diameter

Formula

`"V" = 2/3*pi*("D"/2)^2*sqrt(("SA"/(pi*"D"))^2-("D"/2)^2)`

Example

`"791.1419m³"=2/3*pi*("10m"/2)^2*sqrt(("500m²"/(pi*"10m"))^2-("10m"/2)^2)`

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Volume of Bicone given Surface Area and Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Bicone = 2/3*pi*(Diameter of Bicone/2)^2*sqrt((Surface Area of Bicone/(pi*Diameter of Bicone))^2-(Diameter of Bicone/2)^2)
V = 2/3*pi*(D/2)^2*sqrt((SA/(pi*D))^2-(D/2)^2)
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

Volume of Bicone - (Measured in Cubic Meter) - Volume of Bicone is the amount of three-dimensional space occupied by the closed surface of Bicone.
Diameter of Bicone - (Measured in Meter) - Diameter of Bicone is a straight line passing from side to side through the center of the Bicone.
Surface Area of Bicone - (Measured in Square Meter) - Surface Area of Bicone is defined as the measure of the total 2d space occupied by all the faces of the Bicone.

STEP 1: Convert Input(s) to Base Unit

Diameter of Bicone: 10 Meter --> 10 Meter No Conversion Required
Surface Area of Bicone: 500 Square Meter --> 500 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 2/3*pi*(D/2)^2*sqrt((SA/(pi*D))^2-(D/2)^2) --> 2/3*pi*(10/2)^2*sqrt((500/(pi*10))^2-(10/2)^2)

Evaluating ... ...

V = 791.141912043873

STEP 3: Convert Result to Output's Unit

791.141912043873 Cubic Meter --> No Conversion Required

FINAL ANSWER

791.141912043873 ≈ 791.1419 Cubic Meter <-- Volume of Bicone

(Calculation completed in 00.004 seconds)

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< 6 Volume of Bicone Calculators

Volume of Bicone given Surface Area and Diameter

Go Volume of Bicone = 2/3*pi*(Diameter of Bicone/2)^2*sqrt((Surface Area of Bicone/(pi*Diameter of Bicone))^2-(Diameter of Bicone/2)^2)

Volume of Bicone given Surface Area and Radius

Go Volume of Bicone = 2/3*pi*Radius of Bicone^2*sqrt((Surface Area of Bicone/(2*pi*Radius of Bicone))^2-Radius of Bicone^2)

Volume of Bicone given Diameter and Half Height

Go Volume of Bicone = 2/3*pi*Half Height of Bicone*(Diameter of Bicone/2)^2

Volume of Bicone given Diameter and Height

Go Volume of Bicone = 1/3*pi*(Diameter of Bicone/2)^2*Height of Bicone

Volume of Bicone

Go Volume of Bicone = 2/3*pi*Half Height of Bicone*Radius of Bicone^2

Volume of Bicone given Radius and Height

Go Volume of Bicone = 1/3*pi*Radius of Bicone^2*Height of Bicone

Volume of Bicone given Surface Area and Diameter Formula

Volume of Bicone = 2/3*pi*(Diameter of Bicone/2)^2*sqrt((Surface Area of Bicone/(pi*Diameter of Bicone))^2-(Diameter of Bicone/2)^2)
V = 2/3*pi*(D/2)^2*sqrt((SA/(pi*D))^2-(D/2)^2)

What is Bicone?

In geometry, a bicone or dicone is the three-dimensional surface of revolution of a rhombus around one of its axes of symmetry. Equivalently, a bicone is the surface created by joining two congruent, right, circular cones at their bases. A bicone has circular symmetry and orthogonal bilateral symmetry.

How to Calculate Volume of Bicone given Surface Area and Diameter?

Volume of Bicone given Surface Area and Diameter calculator uses Volume of Bicone = 2/3*pi*(Diameter of Bicone/2)^2*sqrt((Surface Area of Bicone/(pi*Diameter of Bicone))^2-(Diameter of Bicone/2)^2) to calculate the Volume of Bicone, The Volume of Bicone given Surface Area and Diameter formula is defined as the amount of three-dimensional space enclosed by the closed surface of Bicone, and calculated using surface area and diameter of Bicone. Volume of Bicone is denoted by V symbol.

How to calculate Volume of Bicone given Surface Area and Diameter using this online calculator? To use this online calculator for Volume of Bicone given Surface Area and Diameter, enter Diameter of Bicone (D) & Surface Area of Bicone (SA) and hit the calculate button. Here is how the Volume of Bicone given Surface Area and Diameter calculation can be explained with given input values -> 791.1419 = 2/3*pi*(10/2)^2*sqrt((500/(pi*10))^2-(10/2)^2).

FAQ

What is Volume of Bicone given Surface Area and Diameter?

The Volume of Bicone given Surface Area and Diameter formula is defined as the amount of three-dimensional space enclosed by the closed surface of Bicone, and calculated using surface area and diameter of Bicone and is represented as V = 2/3*pi*(D/2)^2*sqrt((SA/(pi*D))^2-(D/2)^2) or Volume of Bicone = 2/3*pi*(Diameter of Bicone/2)^2*sqrt((Surface Area of Bicone/(pi*Diameter of Bicone))^2-(Diameter of Bicone/2)^2). Diameter of Bicone is a straight line passing from side to side through the center of the Bicone & Surface Area of Bicone is defined as the measure of the total 2d space occupied by all the faces of the Bicone.

How to calculate Volume of Bicone given Surface Area and Diameter?

The Volume of Bicone given Surface Area and Diameter formula is defined as the amount of three-dimensional space enclosed by the closed surface of Bicone, and calculated using surface area and diameter of Bicone is calculated using Volume of Bicone = 2/3*pi*(Diameter of Bicone/2)^2*sqrt((Surface Area of Bicone/(pi*Diameter of Bicone))^2-(Diameter of Bicone/2)^2). To calculate Volume of Bicone given Surface Area and Diameter, you need Diameter of Bicone (D) & Surface Area of Bicone (SA). With our tool, you need to enter the respective value for Diameter of Bicone & Surface Area of Bicone 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 of Bicone?

In this formula, Volume of Bicone uses Diameter of Bicone & Surface Area of Bicone. We can use 5 other way(s) to calculate the same, which is/are as follows -

Volume of Bicone = 2/3*pi*Half Height of Bicone*Radius of Bicone^2
Volume of Bicone = 2/3*pi*Half Height of Bicone*(Diameter of Bicone/2)^2
Volume of Bicone = 1/3*pi*Radius of Bicone^2*Height of Bicone
Volume of Bicone = 1/3*pi*(Diameter of Bicone/2)^2*Height of Bicone
Volume of Bicone = 2/3*pi*Radius of Bicone^2*sqrt((Surface Area of Bicone/(2*pi*Radius of Bicone))^2-Radius of Bicone^2)

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