Wedge Angle of Flat End Cylinder given Volume Calculator

✖Side Length of Flat End Cylinder is the measurement or extent of side of Flat End Cylinder.ⓘ Side Length of Flat End Cylinder [l_Side]			+10% -10%
✖Volume of Flat End Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Flat End Cylinder.ⓘ Volume of Flat End Cylinder [V]			+10% -10%
✖Height of Flat End Cylinder is the vertical distance from the bottom circular face to the top of the Flat End Cylinder.ⓘ Height of Flat End Cylinder [h]			+10% -10%

✖Wedge Angle of Flat End Cylinder is the angle made by the oblique side faces of Flat End Cylinder.ⓘ Wedge Angle of Flat End Cylinder given Volume [∠_Wedge]

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Formula

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Wedge Angle of Flat End Cylinder given Volume

Formula

`"∠"_{"Wedge"} = arccos(((2*"l"_{"Side"}^2)-(4*"V"/("h"*(pi-4/3))))/(2*"l"_{"Side"}^2))`

Example

`"45.13058°"=arccos(((2*("13m")^2)-(4*"540m³"/("12m"*(pi-4/3))))/(2*("13m")^2))`

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Wedge Angle of Flat End Cylinder given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wedge Angle of Flat End Cylinder = arccos(((2*Side Length of Flat End Cylinder^2)-(4*Volume of Flat End Cylinder/(Height of Flat End Cylinder*(pi-4/3))))/(2*Side Length of Flat End Cylinder^2))
∠_Wedge = arccos(((2*l_Side^2)-(4*V/(h*(pi-4/3))))/(2*l_Side^2))
This formula uses 1 Constants, 2 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
arccos - Arccosine function, is the inverse function of the cosine function.It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., arccos(Number)

Variables Used

Wedge Angle of Flat End Cylinder - (Measured in Radian) - Wedge Angle of Flat End Cylinder is the angle made by the oblique side faces of Flat End Cylinder.
Side Length of Flat End Cylinder - (Measured in Meter) - Side Length of Flat End Cylinder is the measurement or extent of side of Flat End Cylinder.
Volume of Flat End Cylinder - (Measured in Cubic Meter) - Volume of Flat End Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Flat End Cylinder.
Height of Flat End Cylinder - (Measured in Meter) - Height of Flat End Cylinder is the vertical distance from the bottom circular face to the top of the Flat End Cylinder.

STEP 1: Convert Input(s) to Base Unit

Side Length of Flat End Cylinder: 13 Meter --> 13 Meter No Conversion Required
Volume of Flat End Cylinder: 540 Cubic Meter --> 540 Cubic Meter No Conversion Required
Height of Flat End Cylinder: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Wedge = arccos(((2*l_Side^2)-(4*V/(h*(pi-4/3))))/(2*l_Side^2)) --> arccos(((2*13^2)-(4*540/(12*(pi-4/3))))/(2*13^2))

Evaluating ... ...

∠_Wedge = 0.787677291878308

STEP 3: Convert Result to Output's Unit

0.787677291878308 Radian -->45.1305844429298 Degree (Check conversion here)

FINAL ANSWER

45.1305844429298 ≈ 45.13058 Degree <-- Wedge Angle of Flat End Cylinder

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

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< 4 Wedge Angle of Flat End Cylinder Calculators

Wedge Angle of Flat End Cylinder given Lateral Surface Area

Go Wedge Angle of Flat End Cylinder = arccos(((2*Side Length of Flat End Cylinder^2)-(4*(Lateral Surface Area of Flat End Cylinder/(Height of Flat End Cylinder*((2*pi)-4)))^2))/(2*Side Length of Flat End Cylinder^2))

Wedge Angle of Flat End Cylinder

Go Wedge Angle of Flat End Cylinder = arccos(((2*(Radius of Flat End Cylinder^2+Height of Flat End Cylinder^2))-(4*Radius of Flat End Cylinder^2))/(2*(Radius of Flat End Cylinder^2+Height of Flat End Cylinder^2)))

Wedge Angle of Flat End Cylinder given Volume

Go Wedge Angle of Flat End Cylinder = arccos(((2*Side Length of Flat End Cylinder^2)-(4*Volume of Flat End Cylinder/(Height of Flat End Cylinder*(pi-4/3))))/(2*Side Length of Flat End Cylinder^2))

Wedge Angle of Flat End Cylinder given Straight Edge Length

Go Wedge Angle of Flat End Cylinder = arccos(((2*Side Length of Flat End Cylinder^2)-(4*(Straight Edge Length of Flat End Cylinder/2)^2))/(2*Side Length of Flat End Cylinder^2))

Wedge Angle of Flat End Cylinder given Volume Formula

What is a Flat End Cylinder?

Flat End Cylinder is the matching counterpart to two equivalent cylindrical wedges with the angle Φ=90°, which touch at their straight edges. Together with those two, it forms a full cylinder.

How to Calculate Wedge Angle of Flat End Cylinder given Volume?

Wedge Angle of Flat End Cylinder given Volume calculator uses Wedge Angle of Flat End Cylinder = arccos(((2*Side Length of Flat End Cylinder^2)-(4*Volume of Flat End Cylinder/(Height of Flat End Cylinder*(pi-4/3))))/(2*Side Length of Flat End Cylinder^2)) to calculate the Wedge Angle of Flat End Cylinder, Wedge Angle of Flat End Cylinder given Volume formula is defined as the angle made by the oblique side faces of Flat End Cylinder, and is calculated using side length, volume and height of Flat End Cylinder. Wedge Angle of Flat End Cylinder is denoted by ∠_Wedge symbol.

How to calculate Wedge Angle of Flat End Cylinder given Volume using this online calculator? To use this online calculator for Wedge Angle of Flat End Cylinder given Volume, enter Side Length of Flat End Cylinder (l_Side), Volume of Flat End Cylinder (V) & Height of Flat End Cylinder (h) and hit the calculate button. Here is how the Wedge Angle of Flat End Cylinder given Volume calculation can be explained with given input values -> 2585.792 = arccos(((2*13^2)-(4*540/(12*(pi-4/3))))/(2*13^2)).

FAQ

What is Wedge Angle of Flat End Cylinder given Volume?

Wedge Angle of Flat End Cylinder given Volume formula is defined as the angle made by the oblique side faces of Flat End Cylinder, and is calculated using side length, volume and height of Flat End Cylinder and is represented as ∠_Wedge = arccos(((2*l_Side^2)-(4*V/(h*(pi-4/3))))/(2*l_Side^2)) or Wedge Angle of Flat End Cylinder = arccos(((2*Side Length of Flat End Cylinder^2)-(4*Volume of Flat End Cylinder/(Height of Flat End Cylinder*(pi-4/3))))/(2*Side Length of Flat End Cylinder^2)). Side Length of Flat End Cylinder is the measurement or extent of side of Flat End Cylinder, Volume of Flat End Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Flat End Cylinder & Height of Flat End Cylinder is the vertical distance from the bottom circular face to the top of the Flat End Cylinder.

How to calculate Wedge Angle of Flat End Cylinder given Volume?

Wedge Angle of Flat End Cylinder given Volume formula is defined as the angle made by the oblique side faces of Flat End Cylinder, and is calculated using side length, volume and height of Flat End Cylinder is calculated using Wedge Angle of Flat End Cylinder = arccos(((2*Side Length of Flat End Cylinder^2)-(4*Volume of Flat End Cylinder/(Height of Flat End Cylinder*(pi-4/3))))/(2*Side Length of Flat End Cylinder^2)). To calculate Wedge Angle of Flat End Cylinder given Volume, you need Side Length of Flat End Cylinder (l_Side), Volume of Flat End Cylinder (V) & Height of Flat End Cylinder (h). With our tool, you need to enter the respective value for Side Length of Flat End Cylinder, Volume of Flat End Cylinder & Height of Flat End Cylinder 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 Wedge Angle of Flat End Cylinder?

In this formula, Wedge Angle of Flat End Cylinder uses Side Length of Flat End Cylinder, Volume of Flat End Cylinder & Height of Flat End Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

Wedge Angle of Flat End Cylinder = arccos(((2*(Radius of Flat End Cylinder^2+Height of Flat End Cylinder^2))-(4*Radius of Flat End Cylinder^2))/(2*(Radius of Flat End Cylinder^2+Height of Flat End Cylinder^2)))
Wedge Angle of Flat End Cylinder = arccos(((2*Side Length of Flat End Cylinder^2)-(4*(Straight Edge Length of Flat End Cylinder/2)^2))/(2*Side Length of Flat End Cylinder^2))
Wedge Angle of Flat End Cylinder = arccos(((2*Side Length of Flat End Cylinder^2)-(4*(Lateral Surface Area of Flat End Cylinder/(Height of Flat End Cylinder*((2*pi)-4)))^2))/(2*Side Length of Flat End Cylinder^2))

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