Surface Area of Bicone given Volume and Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface Area of Bicone = 2*pi*sqrt((3*Volume of Bicone)/(pi*Height of Bicone))*sqrt((Height of Bicone/2)^2+(3*Volume of Bicone)/(pi*Height of Bicone))
SA = 2*pi*sqrt((3*V)/(pi*h))*sqrt((h/2)^2+(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
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.
Volume of Bicone - (Measured in Cubic Meter) - Volume of Bicone is the amount of three-dimensional space occupied by the closed surface of Bicone.
Height of Bicone - (Measured in Meter) - Height of Bicone is defined as the measurement of Bicone from top to bottom.
STEP 1: Convert Input(s) to Base Unit
Volume of Bicone: 785 Cubic Meter --> 785 Cubic Meter No Conversion Required
Height of Bicone: 30 Meter --> 30 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
SA = 2*pi*sqrt((3*V)/(pi*h))*sqrt((h/2)^2+(3*V)/(pi*h)) --> 2*pi*sqrt((3*785)/(pi*30))*sqrt((30/2)^2+(3*785)/(pi*30))
Evaluating ... ...
SA = 496.590899006535
STEP 3: Convert Result to Output's Unit
496.590899006535 Square Meter --> No Conversion Required
FINAL ANSWER
496.590899006535 496.5909 Square Meter <-- Surface Area of Bicone
(Calculation completed in 00.004 seconds)

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Surface Area of Bicone Calculators

Surface Area of Bicone given Diameter and Half Height
​ LaTeX ​ Go Surface Area of Bicone = pi*Diameter of Bicone*sqrt(Half Height of Bicone^2+(Diameter of Bicone/2)^2)
Surface Area of Bicone given Diameter and Height
​ LaTeX ​ Go Surface Area of Bicone = pi*Diameter of Bicone*sqrt((Diameter of Bicone/2)^2+(Height of Bicone/2)^2)
Surface Area of Bicone
​ LaTeX ​ Go Surface Area of Bicone = 2*pi*Radius of Bicone*sqrt(Half Height of Bicone^2+Radius of Bicone^2)
Surface Area of Bicone given Radius and Height
​ LaTeX ​ Go Surface Area of Bicone = 2*pi*Radius of Bicone*sqrt((Height of Bicone/2)^2+Radius of Bicone^2)

Surface Area of Bicone given Volume and Height Formula

​LaTeX ​Go
Surface Area of Bicone = 2*pi*sqrt((3*Volume of Bicone)/(pi*Height of Bicone))*sqrt((Height of Bicone/2)^2+(3*Volume of Bicone)/(pi*Height of Bicone))
SA = 2*pi*sqrt((3*V)/(pi*h))*sqrt((h/2)^2+(3*V)/(pi*h))

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 Surface Area of Bicone given Volume and Height?

Surface Area of Bicone given Volume and Height calculator uses Surface Area of Bicone = 2*pi*sqrt((3*Volume of Bicone)/(pi*Height of Bicone))*sqrt((Height of Bicone/2)^2+(3*Volume of Bicone)/(pi*Height of Bicone)) to calculate the Surface Area of Bicone, The Surface Area of Bicone given Volume and 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 height of the Bicone. Surface Area of Bicone is denoted by SA symbol.

How to calculate Surface Area of Bicone given Volume and Height using this online calculator? To use this online calculator for Surface Area of Bicone given Volume and Height, enter Volume of Bicone (V) & Height of Bicone (h) and hit the calculate button. Here is how the Surface Area of Bicone given Volume and Height calculation can be explained with given input values -> 496.5909 = 2*pi*sqrt((3*785)/(pi*30))*sqrt((30/2)^2+(3*785)/(pi*30)).

FAQ

What is Surface Area of Bicone given Volume and Height?
The Surface Area of Bicone given Volume and 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 height of the Bicone and is represented as SA = 2*pi*sqrt((3*V)/(pi*h))*sqrt((h/2)^2+(3*V)/(pi*h)) or Surface Area of Bicone = 2*pi*sqrt((3*Volume of Bicone)/(pi*Height of Bicone))*sqrt((Height of Bicone/2)^2+(3*Volume of Bicone)/(pi*Height of Bicone)). Volume of Bicone is the amount of three-dimensional space occupied by the closed surface of Bicone & Height of Bicone is defined as the measurement of Bicone from top to bottom.
How to calculate Surface Area of Bicone given Volume and Height?
The Surface Area of Bicone given Volume and 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 height of the Bicone is calculated using Surface Area of Bicone = 2*pi*sqrt((3*Volume of Bicone)/(pi*Height of Bicone))*sqrt((Height of Bicone/2)^2+(3*Volume of Bicone)/(pi*Height of Bicone)). To calculate Surface Area of Bicone given Volume and Height, you need Volume of Bicone (V) & Height of Bicone (h). With our tool, you need to enter the respective value for Volume of Bicone & Height 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 Surface Area of Bicone?
In this formula, Surface Area of Bicone uses Volume of Bicone & Height of Bicone. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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)
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