Credits

Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 1000+ more calculators!
St Joseph's College (SJC), Bengaluru
Mona Gladys has verified this Calculator and 1000+ more calculators!

Surface area of Bicone given volume and height Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
SAPolyhedron = 2*pi*(sqrt(((3/2)*Vpolyhedron)/(pi*(h/2))))*(sqrt(((h/2)^2)+((sqrt(((3/2)*Vpolyhedron)/(pi*(h/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
Volume Polyhedron - Volume Polyhedron is amount of three dimensional space covered by polyhedron. (Measured in Cubic Meter)
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Volume Polyhedron: 1200 Cubic Meter --> 1200 Cubic Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
SAPolyhedron = 2*pi*(sqrt(((3/2)*Vpolyhedron)/(pi*(h/2))))*(sqrt(((h/2)^2)+((sqrt(((3/2)*Vpolyhedron)/(pi*(h/2))))^2))) --> 2*pi*(sqrt(((3/2)*1200)/(pi*(12/2))))*(sqrt(((12/2)^2)+((sqrt(((3/2)*1200)/(pi*(12/2))))^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 height Formula

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)))
SAPolyhedron = 2*pi*(sqrt(((3/2)*Vpolyhedron)/(pi*(h/2))))*(sqrt(((h/2)^2)+((sqrt(((3/2)*Vpolyhedron)/(pi*(h/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 Surface area of Bicone given volume and height?

Surface area of Bicone given volume and height calculator uses 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))) to calculate the Surface Area Polyhedron, The Surface area of Bicone given volume and 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 height using this online calculator? To use this online calculator for Surface area of Bicone given volume and height, enter Volume Polyhedron (Vpolyhedron) & Height (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 -> 704.0716 = 2*pi*(sqrt(((3/2)*1200)/(pi*(12/2))))*(sqrt(((12/2)^2)+((sqrt(((3/2)*1200)/(pi*(12/2))))^2))).

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 area of an outer part or uppermost layer of Bicone and is represented as SAPolyhedron = 2*pi*(sqrt(((3/2)*Vpolyhedron)/(pi*(h/2))))*(sqrt(((h/2)^2)+((sqrt(((3/2)*Vpolyhedron)/(pi*(h/2))))^2))) or 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))). Volume Polyhedron is amount of three dimensional space covered by polyhedron & Height is the distance between the lowest and highest points of a person standing upright.
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 area of an outer part or uppermost layer of Bicone is calculated using 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))). To calculate Surface area of Bicone given volume and height, you need Volume Polyhedron (Vpolyhedron) & Height (h). With our tool, you need to enter the respective value for Volume Polyhedron & 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 & 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)))
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!