Volume of Bicone given Surface Area and Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
V = 2/3*pi*r^2*sqrt((SA/(2*pi*r))^2-r^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.
Radius of Bicone - (Measured in Meter) - Radius of Bicone is a radial line from the focus to any point of a curve of 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
Radius of Bicone: 5 Meter --> 5 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*r^2*sqrt((SA/(2*pi*r))^2-r^2) --> 2/3*pi*5^2*sqrt((500/(2*pi*5))^2-5^2)
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 00.020 seconds)

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Walchand College of Engineering (WCE), Sangli
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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 Radius Formula

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)
V = 2/3*pi*r^2*sqrt((SA/(2*pi*r))^2-r^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.

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

Volume of Bicone given Surface Area and Radius calculator uses 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) to calculate the Volume of Bicone, The Volume of Bicone given Surface Area and Radius formula is defined as the amount of three-dimensional space enclosed by the closed surface of the Bicone, and calculated using the surface area and radius of the Bicone. Volume of Bicone is denoted by V symbol.

How to calculate Volume of Bicone given Surface Area and Radius using this online calculator? To use this online calculator for Volume of Bicone given Surface Area and Radius, enter Radius of Bicone (r) & Surface Area of Bicone (SA) and hit the calculate button. Here is how the Volume of Bicone given Surface Area and Radius calculation can be explained with given input values -> 791.1419 = 2/3*pi*5^2*sqrt((500/(2*pi*5))^2-5^2).

FAQ

What is Volume of Bicone given Surface Area and Radius?
The Volume of Bicone given Surface Area and Radius formula is defined as the amount of three-dimensional space enclosed by the closed surface of the Bicone, and calculated using the surface area and radius of the Bicone and is represented as V = 2/3*pi*r^2*sqrt((SA/(2*pi*r))^2-r^2) or 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). Radius of Bicone is a radial line from the focus to any point of a curve of 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 Radius?
The Volume of Bicone given Surface Area and Radius formula is defined as the amount of three-dimensional space enclosed by the closed surface of the Bicone, and calculated using the surface area and radius of the Bicone is calculated using 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). To calculate Volume of Bicone given Surface Area and Radius, you need Radius of Bicone (r) & Surface Area of Bicone (SA). With our tool, you need to enter the respective value for Radius 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 Radius 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*(Diameter of Bicone/2)^2*sqrt((Surface Area of Bicone/(pi*Diameter of Bicone))^2-(Diameter of Bicone/2)^2)
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