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Surface area of Bicone given volume and half height Solution

STEP 0: Pre-Calculation Summary
Formula Used
surface_area_polyhedron = 2*pi*(sqrt(((3/2)*Volume Polyhedron)/(pi*Half Height)))*(sqrt((Half Height^2)+((sqrt(((3/2)*Volume Polyhedron)/(pi*Half Height)))^2)))
SAPolyhedron = 2*pi*(sqrt(((3/2)*Vpolyhedron)/(pi*hHalf)))*(sqrt((hHalf^2)+((sqrt(((3/2)*Vpolyhedron)/(pi*hHalf)))^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
Volume Polyhedron - Volume Polyhedron is amount of three dimensional space covered by polyhedron. (Measured in Cubic Meter)
Half Height - Half Height is the half of measurement of total height of any shape or object. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Volume Polyhedron: 1200 Cubic Meter --> 1200 Cubic Meter No Conversion Required
Half Height: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
SAPolyhedron = 2*pi*(sqrt(((3/2)*Vpolyhedron)/(pi*hHalf)))*(sqrt((hHalf^2)+((sqrt(((3/2)*Vpolyhedron)/(pi*hHalf)))^2))) --> 2*pi*(sqrt(((3/2)*1200)/(pi*6)))*(sqrt((6^2)+((sqrt(((3/2)*1200)/(pi*6)))^2)))
Evaluating ... ...
SAPolyhedron = 704.071589140677
STEP 3: Convert Result to Output's Unit
704.071589140677 Square Meter --> No Conversion Required
FINAL ANSWER
704.071589140677 Square Meter <-- Surface Area Polyhedron
(Calculation completed in 00.000 seconds)

8 Surface area of Bicone Calculators

Surface area of Bicone given volume and half height
surface_area_polyhedron = 2*pi*(sqrt(((3/2)*Volume Polyhedron)/(pi*Half Height)))*(sqrt((Half Height^2)+((sqrt(((3/2)*Volume Polyhedron)/(pi*Half Height)))^2))) Go
Surface area of Bicone given volume and height
surface_area_polyhedron = 2*pi*(sqrt(((3/2)*Volume Polyhedron)/(pi*(Height/2))))*(sqrt(((Height/2)^2)+((sqrt(((3/2)*Volume Polyhedron)/(pi*(Height/2))))^2))) Go
Surface area of Bicone given volume and diameter
surface_area_polyhedron = 2*pi*(Diameter/2)*(sqrt(((Diameter/2)^2)+(((3/2)*Volume Polyhedron)/(pi*((Diameter/2)^2))))) Go
Surface area of Bicone given volume and radius
surface_area_polyhedron = 2*pi*Radius*(sqrt((Radius^2)+(((3/2)*Volume Polyhedron)/(pi*(Radius^2))))) Go
Surface area of Bicone given diameter and height
surface_area_polyhedron = 2*pi*(Diameter/2)* (sqrt(((Diameter/2)^2)+((Height/2)^2))) Go
Surface area of Bicone given diameter and half height
surface_area_polyhedron = 2*pi*(Diameter/2)*(sqrt((Half Height^2)+((Diameter/2)^2))) Go
Surface area of Bicone given radius and height
surface_area_polyhedron = 2*pi*Radius* (sqrt(((Height/2)^2)+(Radius^2))) Go
Surface area of Bicone
surface_area_polyhedron = 2*pi*Radius*(sqrt((Half Height^2)+(Radius^2))) Go

Surface area of Bicone given volume and half height Formula

surface_area_polyhedron = 2*pi*(sqrt(((3/2)*Volume Polyhedron)/(pi*Half Height)))*(sqrt((Half Height^2)+((sqrt(((3/2)*Volume Polyhedron)/(pi*Half Height)))^2)))
SAPolyhedron = 2*pi*(sqrt(((3/2)*Vpolyhedron)/(pi*hHalf)))*(sqrt((hHalf^2)+((sqrt(((3/2)*Vpolyhedron)/(pi*hHalf)))^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 Surface area of Bicone given volume and half height?

Surface area of Bicone given volume and half height calculator uses surface_area_polyhedron = 2*pi*(sqrt(((3/2)*Volume Polyhedron)/(pi*Half Height)))*(sqrt((Half Height^2)+((sqrt(((3/2)*Volume Polyhedron)/(pi*Half Height)))^2))) to calculate the Surface Area Polyhedron, The Surface area of Bicone given volume and half height formula is defined as the area of an outer part or uppermost layer of Bicone. Surface Area Polyhedron is denoted by SAPolyhedron symbol.

How to calculate Surface area of Bicone given volume and half height using this online calculator? To use this online calculator for Surface area of Bicone given volume and half height, enter Volume Polyhedron (Vpolyhedron) & Half Height (hHalf) and hit the calculate button. Here is how the Surface area of Bicone given volume and half height calculation can be explained with given input values -> 704.0716 = 2*pi*(sqrt(((3/2)*1200)/(pi*6)))*(sqrt((6^2)+((sqrt(((3/2)*1200)/(pi*6)))^2))).

FAQ

What is Surface area of Bicone given volume and half height?
The Surface area of Bicone given volume and half height formula is defined as the area of an outer part or uppermost layer of Bicone and is represented as SAPolyhedron = 2*pi*(sqrt(((3/2)*Vpolyhedron)/(pi*hHalf)))*(sqrt((hHalf^2)+((sqrt(((3/2)*Vpolyhedron)/(pi*hHalf)))^2))) or surface_area_polyhedron = 2*pi*(sqrt(((3/2)*Volume Polyhedron)/(pi*Half Height)))*(sqrt((Half Height^2)+((sqrt(((3/2)*Volume Polyhedron)/(pi*Half Height)))^2))). Volume Polyhedron is amount of three dimensional space covered by polyhedron & Half Height is the half of measurement of total height of any shape or object.
How to calculate Surface area of Bicone given volume and half height?
The Surface area of Bicone given volume and half height formula is defined as the area of an outer part or uppermost layer of Bicone is calculated using surface_area_polyhedron = 2*pi*(sqrt(((3/2)*Volume Polyhedron)/(pi*Half Height)))*(sqrt((Half Height^2)+((sqrt(((3/2)*Volume Polyhedron)/(pi*Half Height)))^2))). To calculate Surface area of Bicone given volume and half height, you need Volume Polyhedron (Vpolyhedron) & Half Height (hHalf). With our tool, you need to enter the respective value for Volume Polyhedron & Half Height 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 Polyhedron?
In this formula, Surface Area Polyhedron uses Volume Polyhedron & Half Height. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • surface_area_polyhedron = 2*pi*Radius*(sqrt((Half Height^2)+(Radius^2)))
  • surface_area_polyhedron = 2*pi*(Diameter/2)*(sqrt((Half Height^2)+((Diameter/2)^2)))
  • surface_area_polyhedron = 2*pi*Radius* (sqrt(((Height/2)^2)+(Radius^2)))
  • surface_area_polyhedron = 2*pi*(Diameter/2)* (sqrt(((Diameter/2)^2)+((Height/2)^2)))
  • surface_area_polyhedron = 2*pi*Radius*(sqrt((Radius^2)+(((3/2)*Volume Polyhedron)/(pi*(Radius^2)))))
  • surface_area_polyhedron = 2*pi*(Diameter/2)*(sqrt(((Diameter/2)^2)+(((3/2)*Volume Polyhedron)/(pi*((Diameter/2)^2)))))
  • surface_area_polyhedron = 2*pi*(sqrt(((3/2)*Volume Polyhedron)/(pi*Half Height)))*(sqrt((Half Height^2)+((sqrt(((3/2)*Volume Polyhedron)/(pi*Half Height)))^2)))
  • surface_area_polyhedron = 2*pi*(sqrt(((3/2)*Volume Polyhedron)/(pi*(Height/2))))*(sqrt(((Height/2)^2)+((sqrt(((3/2)*Volume Polyhedron)/(pi*(Height/2))))^2)))
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