Volume of Deltoidal Hexecontahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)))^3
V = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*ri)/(3*sqrt((135+(59*sqrt(5)))/205)))^3
This formula uses 1 Functions, 2 Variables
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 Deltoidal Hexecontahedron - (Measured in Cubic Meter) - Volume of Deltoidal Hexecontahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron.
Insphere Radius of Deltoidal Hexecontahedron - (Measured in Meter) - Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere.
STEP 1: Convert Input(s) to Base Unit
Insphere Radius of Deltoidal Hexecontahedron: 17 Meter --> 17 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*ri)/(3*sqrt((135+(59*sqrt(5)))/205)))^3 --> 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*17)/(3*sqrt((135+(59*sqrt(5)))/205)))^3
Evaluating ... ...
V = 21757.6596073789
STEP 3: Convert Result to Output's Unit
21757.6596073789 Cubic Meter --> No Conversion Required
FINAL ANSWER
21757.6596073789 21757.66 Cubic Meter <-- Volume of Deltoidal Hexecontahedron
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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8 Volume of Deltoidal Hexecontahedron Calculators

Volume of Deltoidal Hexecontahedron given Surface to Volume Ratio
Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25)))^3
Volume of Deltoidal Hexecontahedron given Total Surface Area
Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*(sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5)))))))^3
Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal
Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5)))^3
Volume of Deltoidal Hexecontahedron given Insphere Radius
Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)))^3
Volume of Deltoidal Hexecontahedron given Symmetry Diagonal
Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*(Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)))^3
Volume of Deltoidal Hexecontahedron given Midsphere Radius
Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))))^3
Volume of Deltoidal Hexecontahedron given Short Edge
Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^3
Volume of Deltoidal Hexecontahedron
Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*Long Edge of Deltoidal Hexecontahedron^3

Volume of Deltoidal Hexecontahedron given Insphere Radius Formula

Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)))^3
V = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*ri)/(3*sqrt((135+(59*sqrt(5)))/205)))^3

What is Deltoidal Hexecontahedron?

A Deltoidal Hexecontahedron is a polyhedron with deltoid (kite) faces, those have two angles with 86.97°, one angle with 118.3° and one with 67.8°. It has twenty vertices with three edges, thirty vertices with four edges and twelve vertices with five edges. In total, it has 60 faces, 120 edges, 62 vertices.

How to Calculate Volume of Deltoidal Hexecontahedron given Insphere Radius?

Volume of Deltoidal Hexecontahedron given Insphere Radius calculator uses Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)))^3 to calculate the Volume of Deltoidal Hexecontahedron, Volume of Deltoidal Hexecontahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using insphere radius of Deltoidal Hexecontahedron. Volume of Deltoidal Hexecontahedron is denoted by V symbol.

How to calculate Volume of Deltoidal Hexecontahedron given Insphere Radius using this online calculator? To use this online calculator for Volume of Deltoidal Hexecontahedron given Insphere Radius, enter Insphere Radius of Deltoidal Hexecontahedron (ri) and hit the calculate button. Here is how the Volume of Deltoidal Hexecontahedron given Insphere Radius calculation can be explained with given input values -> 21757.66 = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*17)/(3*sqrt((135+(59*sqrt(5)))/205)))^3.

FAQ

What is Volume of Deltoidal Hexecontahedron given Insphere Radius?
Volume of Deltoidal Hexecontahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using insphere radius of Deltoidal Hexecontahedron and is represented as V = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*ri)/(3*sqrt((135+(59*sqrt(5)))/205)))^3 or Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)))^3. Insphere Radius of Deltoidal Hexecontahedron is the radius of the sphere that is contained by the Deltoidal Hexecontahedron in such a way that all the faces just touch the sphere.
How to calculate Volume of Deltoidal Hexecontahedron given Insphere Radius?
Volume of Deltoidal Hexecontahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using insphere radius of Deltoidal Hexecontahedron is calculated using Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205)))^3. To calculate Volume of Deltoidal Hexecontahedron given Insphere Radius, you need Insphere Radius of Deltoidal Hexecontahedron (ri). With our tool, you need to enter the respective value for Insphere Radius of Deltoidal Hexecontahedron 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 Deltoidal Hexecontahedron?
In this formula, Volume of Deltoidal Hexecontahedron uses Insphere Radius of Deltoidal Hexecontahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*Long Edge of Deltoidal Hexecontahedron^3
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^3
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*(Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)))^3
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5)))^3
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*(sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5)))))))^3
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))))^3
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25)))^3
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