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Surface Area of Bicone given Volume and Half Height Formula

GoSurface Area of Bicone Formula

GoSurface Area of Bicone given Diameter and Half Height Formula

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

SA = 2 \cdot π \cdot \sqrt{\frac{\frac{3}{2} \cdot V}{π \cdot h Half}} \cdot \sqrt{{h Half}^{2} + \frac{\frac{3}{2} \cdot V}{π \cdot h Half}}

SA - Surface Area of Bicone?V - Volume of Bicone?h_Half - Half Height of Bicone?π - Archimedes' constant?

Surface Area of Bicone given Volume and Half Height Example

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

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

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

496.5909 = 2 \cdot 3.1416 \cdot \sqrt{\frac{\frac{3}{2} \cdot 785}{3.1416 \cdot 15}} \cdot \sqrt{15^{2} + \frac{\frac{3}{2} \cdot 785}{3.1416 \cdot 15}}

496.5909m² = 2 \cdot 3.1416 \cdot \sqrt{\frac{\frac{3}{2} \cdot 785m³}{3.1416 \cdot 15m}} \cdot \sqrt{{15m}^{2} + \frac{\frac{3}{2} \cdot 785m³}{3.1416 \cdot 15m}}

496.5909 = 2 \cdot 3.1416 \cdot \sqrt{\frac{\frac{3}{2} \cdot 785}{3.1416 \cdot 15}} \cdot \sqrt{15^{2} + \frac{\frac{3}{2} \cdot 785}{3.1416 \cdot 15}}

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Surface Area of Bicone given Volume and Half Height Solution

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

FIRST Step Consider the formula

SA = 2 \cdot π \cdot \sqrt{\frac{\frac{3}{2} \cdot V}{π \cdot h Half}} \cdot \sqrt{{h Half}^{2} + \frac{\frac{3}{2} \cdot V}{π \cdot h Half}}

Next Step Substitute values of Variables

∴

SA = 2 \cdot π \cdot \sqrt{\frac{\frac{3}{2} \cdot 785m³}{π \cdot 15m}} \cdot \sqrt{{15m}^{2} + \frac{\frac{3}{2} \cdot 785m³}{π \cdot 15m}}

Next Step Substitute values of Constants

∴

SA = 2 \cdot 3.1416 \cdot \sqrt{\frac{\frac{3}{2} \cdot 785m³}{3.1416 \cdot 15m}} \cdot \sqrt{{15m}^{2} + \frac{\frac{3}{2} \cdot 785m³}{3.1416 \cdot 15m}}

Next Step Prepare to Evaluate

∴

SA = 2 \cdot 3.1416 \cdot \sqrt{\frac{\frac{3}{2} \cdot 785}{3.1416 \cdot 15}} \cdot \sqrt{15^{2} + \frac{\frac{3}{2} \cdot 785}{3.1416 \cdot 15}}

Next Step Evaluate

∴

SA = 496.590899006535m²

LAST Step Rounding Answer

∴

SA = 496.5909m²

Surface Area of Bicone given Volume and Half Height Formula Elements

Variables

Constants

Functions

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

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

Half Height of Bicone

Half Height of Bicone is the half of measurement of total height of the Bicone.

Symbol: h_Half

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Half Height 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 Surface Area of Bicone

Go Surface Area of Bicone

SA = 2 \cdot π \cdot r \cdot \sqrt{{h Half}^{2} + r^{2}}

Go Surface Area of Bicone given Diameter and Half Height

SA = π \cdot D \cdot \sqrt{{h Half}^{2} + {(\frac{D}{2})}^{2}}

Go Surface Area of Bicone given Radius and Height

SA = 2 \cdot π \cdot r \cdot \sqrt{{(\frac{h}{2})}^{2} + r^{2}}

Go Surface Area of Bicone given Diameter and Height

SA = π \cdot D \cdot \sqrt{{(\frac{D}{2})}^{2} + {(\frac{h}{2})}^{2}}

How to Evaluate Surface Area of Bicone given Volume and Half Height?

Surface Area of Bicone given Volume and Half Height evaluator uses Surface Area of Bicone = 2*pi*sqrt((3/2*Volume of Bicone)/(pi*Half Height of Bicone))*sqrt(Half Height of Bicone^2+(3/2*Volume of Bicone)/(pi*Half Height of Bicone)) to evaluate the Surface Area of Bicone, The Surface Area of Bicone given Volume and Half Height formula is defined as the measure of the total 2d space occupied by all the faces of the Bicone, and calculated using the volume and half height of the Bicone. Surface Area of Bicone is denoted by SA symbol.

How to evaluate Surface Area of Bicone given Volume and Half Height using this online evaluator? To use this online evaluator for Surface Area of Bicone given Volume and Half Height, enter Volume of Bicone (V) & Half Height of Bicone (h_Half) and hit the calculate button.

FAQs on Surface Area of Bicone given Volume and Half Height

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

The formula of Surface Area of Bicone given Volume and Half Height is expressed as Surface Area of Bicone = 2*pi*sqrt((3/2*Volume of Bicone)/(pi*Half Height of Bicone))*sqrt(Half Height of Bicone^2+(3/2*Volume of Bicone)/(pi*Half Height of Bicone)). Here is an example- 496.5909 = 2*pi*sqrt((3/2*785)/(pi*15))*sqrt(15^2+(3/2*785)/(pi*15)).

How to calculate Surface Area of Bicone given Volume and Half Height?

With Volume of Bicone (V) & Half Height of Bicone (h_Half) we can find Surface Area of Bicone given Volume and Half Height using the formula - Surface Area of Bicone = 2*pi*sqrt((3/2*Volume of Bicone)/(pi*Half Height of Bicone))*sqrt(Half Height of Bicone^2+(3/2*Volume of Bicone)/(pi*Half Height of Bicone)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Surface Area of Bicone?

Here are the different ways to Calculate Surface Area of Bicone-

Surface Area of Bicone=2*pi*Radius of Bicone*sqrt(Half Height of Bicone^2+Radius of Bicone^2)
Surface Area of Bicone=pi*Diameter of Bicone*sqrt(Half Height of Bicone^2+(Diameter of Bicone/2)^2)
Surface Area of Bicone=2*pi*Radius of Bicone*sqrt((Height of Bicone/2)^2+Radius of Bicone^2)

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

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

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

Surface Area of Bicone given Volume and Half Height is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Surface Area of Bicone given Volume and Half Height can be measured.

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Surface Area of Bicone given Volume and Half Height Formula

​GoSurface Area of Bicone Formula

​GoSurface Area of Bicone given Diameter and Half Height Formula

Surface Area of Bicone given Volume and Half Height Example

Surface Area of Bicone given Volume and Half Height Solution

Surface Area of Bicone given Volume and Half Height Formula Elements

Other Formulas to find Surface Area of Bicone

How to Evaluate Surface Area of Bicone given Volume and Half Height?

FAQs on Surface Area of Bicone given Volume and Half Height

Variable Name

GoSurface Area of Bicone Formula

GoSurface Area of Bicone given Diameter and Half Height Formula