Height of Pentagonal Bipyramid given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Pentagonal Bipyramid is the numerical ratio of the total surface area of a Pentagonal Bipyramid to the volume of the Pentagonal Bipyramid.ⓘ Surface to Volume Ratio of Pentagonal Bipyramid [R_A/V]

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✖Height of Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid.ⓘ Height of Pentagonal Bipyramid given Surface to Volume Ratio [h]

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Height of Pentagonal Bipyramid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid)
h = 2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*R_A/V)
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

Height of Pentagonal Bipyramid - (Measured in Meter) - Height of Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid.
Surface to Volume Ratio of Pentagonal Bipyramid - (Measured in 1 per Meter) - Surface to Volume Ratio of Pentagonal Bipyramid is the numerical ratio of the total surface area of a Pentagonal Bipyramid to the volume of the Pentagonal Bipyramid.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Pentagonal Bipyramid: 0.7 1 per Meter --> 0.7 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = 2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*R_A/V) --> 2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*0.7)

Evaluating ... ...

h = 10.7863591916984

STEP 3: Convert Result to Output's Unit

10.7863591916984 Meter --> No Conversion Required

FINAL ANSWER

10.7863591916984 ≈ 10.78636 Meter <-- Height of Pentagonal Bipyramid

(Calculation completed in 00.004 seconds)

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< Height of Pentagonal Bipyramid Calculators

Height of Pentagonal Bipyramid given Surface to Volume Ratio

LaTeX Go Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid)

Height of Pentagonal Bipyramid given Total Surface Area

LaTeX Go Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3)))

Height of Pentagonal Bipyramid given Volume

LaTeX Go Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3)

Height of Pentagonal Bipyramid

LaTeX Go Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*Edge Length of Pentagonal Bipyramid

Height of Pentagonal Bipyramid given Surface to Volume Ratio Formula

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What is a Pentagonal Bipyramid?

A Pentagonal Bipyramid is made of two pentagonal Johnson pyramids which are stuck together at their bases, which is the Johnson solid generally denoted by J13. It consists of 10 faces which are all equilateral triangles. Also, It has 15 edges and 7 vertices.

How to Calculate Height of Pentagonal Bipyramid given Surface to Volume Ratio?

Height of Pentagonal Bipyramid given Surface to Volume Ratio calculator uses Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid) to calculate the Height of Pentagonal Bipyramid, The Height of Pentagonal Bipyramid given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid and is calculated using the surface to volume ratio of the Pentagonal Bipyramid. Height of Pentagonal Bipyramid is denoted by h symbol.

How to calculate Height of Pentagonal Bipyramid given Surface to Volume Ratio using this online calculator? To use this online calculator for Height of Pentagonal Bipyramid given Surface to Volume Ratio, enter Surface to Volume Ratio of Pentagonal Bipyramid (R_A/V) and hit the calculate button. Here is how the Height of Pentagonal Bipyramid given Surface to Volume Ratio calculation can be explained with given input values -> 10.78636 = 2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*0.7).

FAQ

What is Height of Pentagonal Bipyramid given Surface to Volume Ratio?

The Height of Pentagonal Bipyramid given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid and is calculated using the surface to volume ratio of the Pentagonal Bipyramid and is represented as h = 2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*R_A/V) or Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid). Surface to Volume Ratio of Pentagonal Bipyramid is the numerical ratio of the total surface area of a Pentagonal Bipyramid to the volume of the Pentagonal Bipyramid.

How to calculate Height of Pentagonal Bipyramid given Surface to Volume Ratio?

The Height of Pentagonal Bipyramid given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid and is calculated using the surface to volume ratio of the Pentagonal Bipyramid is calculated using Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid). To calculate Height of Pentagonal Bipyramid given Surface to Volume Ratio, you need Surface to Volume Ratio of Pentagonal Bipyramid (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Pentagonal Bipyramid 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 Height of Pentagonal Bipyramid?

In this formula, Height of Pentagonal Bipyramid uses Surface to Volume Ratio of Pentagonal Bipyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*Edge Length of Pentagonal Bipyramid
Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3)))
Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3)

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