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Volume of Bicone given surface area and diameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
volume_polyhedron = (2/3)*pi*((Diameter/2)^2)*(sqrt(((Surface Area Polyhedron/(2*pi*(Diameter/2)))^2)-((Diameter/2)^2)))
Vpolyhedron = (2/3)*pi*((d/2)^2)*(sqrt(((SAPolyhedron/(2*pi*(d/2)))^2)-((d/2)^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
Diameter - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere. (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
Diameter: 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*((d/2)^2)*(sqrt(((SAPolyhedron/(2*pi*(d/2)))^2)-((d/2)^2))) --> (2/3)*pi*((10/2)^2)*(sqrt(((1000/(2*pi*(10/2)))^2)-((10/2)^2)))
Evaluating ... ...
Vpolyhedron = 1645.97656676083
STEP 3: Convert Result to Output's Unit
1645.97656676083 Cubic Meter --> No Conversion Required
FINAL ANSWER
1645.97656676083 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 diameter Formula

volume_polyhedron = (2/3)*pi*((Diameter/2)^2)*(sqrt(((Surface Area Polyhedron/(2*pi*(Diameter/2)))^2)-((Diameter/2)^2)))
Vpolyhedron = (2/3)*pi*((d/2)^2)*(sqrt(((SAPolyhedron/(2*pi*(d/2)))^2)-((d/2)^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. A bicone has circular symmetry and orthogonal bilateral symmetry.

How to Calculate Volume of Bicone given surface area and diameter?

Volume of Bicone given surface area and diameter calculator uses volume_polyhedron = (2/3)*pi*((Diameter/2)^2)*(sqrt(((Surface Area Polyhedron/(2*pi*(Diameter/2)))^2)-((Diameter/2)^2))) to calculate the Volume Polyhedron, The Volume of Bicone given surface area and diameter 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 diameter using this online calculator? To use this online calculator for Volume of Bicone given surface area and diameter, enter Diameter (d) & Surface Area Polyhedron (SAPolyhedron) and hit the calculate button. Here is how the Volume of Bicone given surface area and diameter calculation can be explained with given input values -> 1645.977 = (2/3)*pi*((10/2)^2)*(sqrt(((1000/(2*pi*(10/2)))^2)-((10/2)^2))).

FAQ

What is Volume of Bicone given surface area and diameter?
The Volume of Bicone given surface area and diameter formula is defined as amount of three dimensional space covered by Bicone and is represented as Vpolyhedron = (2/3)*pi*((d/2)^2)*(sqrt(((SAPolyhedron/(2*pi*(d/2)))^2)-((d/2)^2))) or volume_polyhedron = (2/3)*pi*((Diameter/2)^2)*(sqrt(((Surface Area Polyhedron/(2*pi*(Diameter/2)))^2)-((Diameter/2)^2))). Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere & 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 diameter?
The Volume of Bicone given surface area and diameter formula is defined as amount of three dimensional space covered by Bicone is calculated using volume_polyhedron = (2/3)*pi*((Diameter/2)^2)*(sqrt(((Surface Area Polyhedron/(2*pi*(Diameter/2)))^2)-((Diameter/2)^2))). To calculate Volume of Bicone given surface area and diameter, you need Diameter (d) & Surface Area Polyhedron (SAPolyhedron). With our tool, you need to enter the respective value for Diameter & 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 Diameter & 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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