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Volume of Bicone given Surface Area and Diameter Formula

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GoVolume of Bicone given Diameter and Half Height Formula

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Volume of Bicone is the amount of three-dimensional space occupied by the closed surface of Bicone. Check FAQs

V = \frac{2}{3} \cdot π \cdot {(\frac{D}{2})}^{2} \cdot \sqrt{{(\frac{SA}{π \cdot D})}^{2} - {(\frac{D}{2})}^{2}}

V - Volume of Bicone?D - Diameter of Bicone?SA - Surface Area of Bicone?π - Archimedes' constant?

Volume of Bicone given Surface Area and Diameter Example

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Here is how the Volume of Bicone given Surface Area and Diameter equation looks like with Values.

Here is how the Volume of Bicone given Surface Area and Diameter equation looks like with Units.

Here is how the Volume of Bicone given Surface Area and Diameter equation looks like.

791.1419 = \frac{2}{3} \cdot 3.1416 \cdot {(\frac{10}{2})}^{2} \cdot \sqrt{{(\frac{500}{3.1416 \cdot 10})}^{2} - {(\frac{10}{2})}^{2}}

791.1419m³ = \frac{2}{3} \cdot 3.1416 \cdot {(\frac{10m}{2})}^{2} \cdot \sqrt{{(\frac{500m²}{3.1416 \cdot 10m})}^{2} - {(\frac{10m}{2})}^{2}}

791.1419 = \frac{2}{3} \cdot 3.1416 \cdot {(\frac{10}{2})}^{2} \cdot \sqrt{{(\frac{500}{3.1416 \cdot 10})}^{2} - {(\frac{10}{2})}^{2}}

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Volume of Bicone given Surface Area and Diameter Solution

Follow our step by step solution on how to calculate Volume of Bicone given Surface Area and Diameter?

FIRST Step Consider the formula

V = \frac{2}{3} \cdot π \cdot {(\frac{D}{2})}^{2} \cdot \sqrt{{(\frac{SA}{π \cdot D})}^{2} - {(\frac{D}{2})}^{2}}

Next Step Substitute values of Variables

∴

V = \frac{2}{3} \cdot π \cdot {(\frac{10m}{2})}^{2} \cdot \sqrt{{(\frac{500m²}{π \cdot 10m})}^{2} - {(\frac{10m}{2})}^{2}}

Next Step Substitute values of Constants

∴

V = \frac{2}{3} \cdot 3.1416 \cdot {(\frac{10m}{2})}^{2} \cdot \sqrt{{(\frac{500m²}{3.1416 \cdot 10m})}^{2} - {(\frac{10m}{2})}^{2}}

Next Step Prepare to Evaluate

∴

V = \frac{2}{3} \cdot 3.1416 \cdot {(\frac{10}{2})}^{2} \cdot \sqrt{{(\frac{500}{3.1416 \cdot 10})}^{2} - {(\frac{10}{2})}^{2}}

Next Step Evaluate

∴

V = 791.141912043873m³

LAST Step Rounding Answer

∴

V = 791.1419m³

Volume of Bicone given Surface Area and Diameter Formula Elements

Variables

Constants

Functions

Volume of Bicone

Volume of Bicone is the amount of three-dimensional space occupied by the closed surface of Bicone.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Bicone

Diameter of Bicone

Diameter of Bicone is a straight line passing from side to side through the center of the Bicone.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Bicone

Surface Area of Bicone

Surface Area of Bicone is defined as the measure of the total 2d space occupied by all the faces of the Bicone.

Symbol: SA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Surface Area of Bicone

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Volume of Bicone

Go Volume of Bicone

V = \frac{2}{3} \cdot π \cdot h Half \cdot r^{2}

Go Volume of Bicone given Diameter and Half Height

V = \frac{2}{3} \cdot π \cdot h Half \cdot {(\frac{D}{2})}^{2}

Go Volume of Bicone given Radius and Height

V = \frac{1}{3} \cdot π \cdot r^{2} \cdot h

Go Volume of Bicone given Diameter and Height

V = \frac{1}{3} \cdot π \cdot {(\frac{D}{2})}^{2} \cdot h

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

Volume of Bicone given Surface Area and Diameter evaluator 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 evaluate 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 evaluate Volume of Bicone given Surface Area and Diameter using this online evaluator? To use this online evaluator for Volume of Bicone given Surface Area and Diameter, enter Diameter of Bicone (D) & Surface Area of Bicone (SA) and hit the calculate button.

FAQs on Volume of Bicone given Surface Area and Diameter

What is the formula to find Volume of Bicone given Surface Area and Diameter?

The formula of Volume of Bicone given Surface Area and Diameter is expressed as 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). Here is an example- 791.1419 = 2/3*pi*(10/2)^2*sqrt((500/(pi*10))^2-(10/2)^2).

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

With Diameter of Bicone (D) & Surface Area of Bicone (SA) we can find Volume of Bicone given Surface Area and Diameter using the 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). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Bicone?

Here are the different ways to Calculate Volume of Bicone-

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

Can the Volume of Bicone given Surface Area and Diameter be negative?

No, the Volume of Bicone given Surface Area and Diameter, measured in Volume cannot be negative.

Which unit is used to measure Volume of Bicone given Surface Area and Diameter?

Volume of Bicone given Surface Area and Diameter is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Bicone given Surface Area and Diameter can be measured.

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Volume of Bicone given Surface Area and Diameter Formula

​GoVolume of Bicone Formula

​GoVolume of Bicone given Diameter and Half Height Formula

Volume of Bicone given Surface Area and Diameter Example

Volume of Bicone given Surface Area and Diameter Solution

Volume of Bicone given Surface Area and Diameter Formula Elements

Other Formulas to find Volume of Bicone

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

FAQs on Volume of Bicone given Surface Area and Diameter

Variable Name

GoVolume of Bicone Formula

GoVolume of Bicone given Diameter and Half Height Formula