Volume of Deltoidal Hexecontahedron given Midsphere Radius Calculator

✖Midsphere Radius of Deltoidal Hexecontahedron is the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Deltoidal Hexecontahedron [r_m]

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✖Volume of Deltoidal Hexecontahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron.ⓘ Volume of Deltoidal Hexecontahedron given Midsphere Radius [V]

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Volume of Deltoidal Hexecontahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))))^3
V = 45/11*sqrt((370+(164*sqrt(5)))/25)*((20*r_m)/(3*(5+(3*sqrt(5)))))^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.
Midsphere Radius of Deltoidal Hexecontahedron - (Measured in Meter) - Midsphere Radius of Deltoidal Hexecontahedron is the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Deltoidal Hexecontahedron: 18 Meter --> 18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 45/11*sqrt((370+(164*sqrt(5)))/25)*((20*r_m)/(3*(5+(3*sqrt(5)))))^3 --> 45/11*sqrt((370+(164*sqrt(5)))/25)*((20*18)/(3*(5+(3*sqrt(5)))))^3

Evaluating ... ...

V = 23909.6119360743

STEP 3: Convert Result to Output's Unit

23909.6119360743 Cubic Meter --> No Conversion Required

FINAL ANSWER

23909.6119360743 ≈ 23909.61 Cubic Meter <-- Volume of Deltoidal Hexecontahedron

(Calculation completed in 00.004 seconds)

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< Volume of Deltoidal Hexecontahedron Calculators

Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal

LaTeX 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 Symmetry Diagonal

LaTeX 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 Short Edge

LaTeX 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

LaTeX Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*Long Edge of Deltoidal Hexecontahedron^3

Volume of Deltoidal Hexecontahedron given Midsphere Radius Formula

LaTeX Go

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 Midsphere Radius?

Volume of Deltoidal Hexecontahedron given Midsphere Radius calculator uses Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))))^3 to calculate the Volume of Deltoidal Hexecontahedron, Volume of Deltoidal Hexecontahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using midsphere radius of Deltoidal Hexecontahedron. Volume of Deltoidal Hexecontahedron is denoted by V symbol.

How to calculate Volume of Deltoidal Hexecontahedron given Midsphere Radius using this online calculator? To use this online calculator for Volume of Deltoidal Hexecontahedron given Midsphere Radius, enter Midsphere Radius of Deltoidal Hexecontahedron (r_m) and hit the calculate button. Here is how the Volume of Deltoidal Hexecontahedron given Midsphere Radius calculation can be explained with given input values -> 23909.61 = 45/11*sqrt((370+(164*sqrt(5)))/25)*((20*18)/(3*(5+(3*sqrt(5)))))^3.

FAQ

What is Volume of Deltoidal Hexecontahedron given Midsphere Radius?

Volume of Deltoidal Hexecontahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using midsphere radius of Deltoidal Hexecontahedron and is represented as V = 45/11*sqrt((370+(164*sqrt(5)))/25)*((20*r_m)/(3*(5+(3*sqrt(5)))))^3 or Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))))^3. Midsphere Radius of Deltoidal Hexecontahedron is the radius of the sphere for which all the edges of the Deltoidal Hexecontahedron become a tangent line on that sphere.

How to calculate Volume of Deltoidal Hexecontahedron given Midsphere Radius?

Volume of Deltoidal Hexecontahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using midsphere radius of Deltoidal Hexecontahedron is calculated using Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5)))))^3. To calculate Volume of Deltoidal Hexecontahedron given Midsphere Radius, you need Midsphere Radius of Deltoidal Hexecontahedron (r_m). With our tool, you need to enter the respective value for Midsphere 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 Midsphere Radius of Deltoidal Hexecontahedron. We can use 3 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

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