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Volume of Bicone given surface area and radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
volume_polyhedron = (2/3)*pi*(Radius^2)*(sqrt(((Surface Area Polyhedron/(2*pi*Radius))^2)-(Radius^2)))
Vpolyhedron = (2/3)*pi*(r^2)*(sqrt(((SAPolyhedron/(2*pi*r))^2)-(r^2)))
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Meter)
Surface Area Polyhedron - Surface Area Polyhedron is the area of an outer part or uppermost layer of polyhedron. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Radius: 10 Meter --> 10 Meter No Conversion Required
Surface Area Polyhedron: 1000 Square Meter --> 1000 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vpolyhedron = (2/3)*pi*(r^2)*(sqrt(((SAPolyhedron/(2*pi*r))^2)-(r^2))) --> (2/3)*pi*(10^2)*(sqrt(((1000/(2*pi*10))^2)-(10^2)))
Evaluating ... ...
Vpolyhedron = 2593.1872794271
STEP 3: Convert Result to Output's Unit
2593.1872794271 Cubic Meter --> No Conversion Required
FINAL ANSWER
2593.1872794271 Cubic Meter <-- Volume Polyhedron
(Calculation completed in 00.016 seconds)

6 Volume of Bicone Calculators

Volume of Bicone given surface area and diameter
volume_polyhedron = (2/3)*pi*((Diameter/2)^2)*(sqrt(((Surface Area Polyhedron/(2*pi*(Diameter/2)))^2)-((Diameter/2)^2))) Go
Volume of Bicone given surface area and radius
volume_polyhedron = (2/3)*pi*(Radius^2)*(sqrt(((Surface Area Polyhedron/(2*pi*Radius))^2)-(Radius^2))) Go
Volume of Bicone given diameter and half height
volume_polyhedron = (2/3)*pi*Half Height*((Diameter/2)^2) Go
Volume of Bicone given diameter and height
volume_polyhedron = (2/3)*pi*((Diameter/2)^2)*(Height/2) Go
Volume of Bicone
volume_polyhedron = (2/3)*pi*Half Height*(Radius^2) Go
Volume of Bicone given radius and height
volume_polyhedron = (2/3)*pi*(Radius^2)*(Height/2) Go

Volume of Bicone given surface area and radius Formula

volume_polyhedron = (2/3)*pi*(Radius^2)*(sqrt(((Surface Area Polyhedron/(2*pi*Radius))^2)-(Radius^2)))
Vpolyhedron = (2/3)*pi*(r^2)*(sqrt(((SAPolyhedron/(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_polyhedron = (2/3)*pi*(Radius^2)*(sqrt(((Surface Area Polyhedron/(2*pi*Radius))^2)-(Radius^2))) to calculate the Volume Polyhedron, The Volume of Bicone given surface area and radius formula is defined as amount of three dimensional space covered by Bicone. Volume Polyhedron is denoted by Vpolyhedron 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 (r) & Surface Area Polyhedron (SAPolyhedron) 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 -> 2593.187 = (2/3)*pi*(10^2)*(sqrt(((1000/(2*pi*10))^2)-(10^2))).

FAQ

What is Volume of Bicone given surface area and radius?
The Volume of Bicone given surface area and radius formula is defined as amount of three dimensional space covered by Bicone and is represented as Vpolyhedron = (2/3)*pi*(r^2)*(sqrt(((SAPolyhedron/(2*pi*r))^2)-(r^2))) or volume_polyhedron = (2/3)*pi*(Radius^2)*(sqrt(((Surface Area Polyhedron/(2*pi*Radius))^2)-(Radius^2))). Radius is a radial line from the focus to any point of a curve & Surface Area Polyhedron is the area of an outer part or uppermost layer of polyhedron.
How to calculate Volume of Bicone given surface area and radius?
The Volume of Bicone given surface area and radius formula is defined as amount of three dimensional space covered by Bicone is calculated using volume_polyhedron = (2/3)*pi*(Radius^2)*(sqrt(((Surface Area Polyhedron/(2*pi*Radius))^2)-(Radius^2))). To calculate Volume of Bicone given surface area and radius, you need Radius (r) & Surface Area Polyhedron (SAPolyhedron). With our tool, you need to enter the respective value for Radius & Surface Area Polyhedron 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 Polyhedron?
In this formula, Volume Polyhedron uses Radius & Surface Area Polyhedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • volume_polyhedron = (2/3)*pi*Half Height*(Radius^2)
  • volume_polyhedron = (2/3)*pi*Half Height*((Diameter/2)^2)
  • volume_polyhedron = (2/3)*pi*(Radius^2)*(Height/2)
  • volume_polyhedron = (2/3)*pi*((Diameter/2)^2)*(Height/2)
  • volume_polyhedron = (2/3)*pi*(Radius^2)*(sqrt(((Surface Area Polyhedron/(2*pi*Radius))^2)-(Radius^2)))
  • volume_polyhedron = (2/3)*pi*((Diameter/2)^2)*(sqrt(((Surface Area Polyhedron/(2*pi*(Diameter/2)))^2)-((Diameter/2)^2)))
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