Radius at Top and Bottom of Barrel given Space Diagonal and Height Calculator

✖Space Diagonal of Barrel is a line connecting two opposite vertices of barrel across its volume, that are not on the same face.ⓘ Space Diagonal of Barrel [d_Space]			+10% -10%
✖Height of Barrel is the measure of Barrel from base to top.ⓘ Height of Barrel [h]			+10% -10%

✖Radius at Top and Bottom of Barrel is the radius measured at the top and bottom of Barrel.ⓘ Radius at Top and Bottom of Barrel given Space Diagonal and Height [r_Top/Bottom]

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Radius at Top and Bottom of Barrel given Space Diagonal and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius at Top and Bottom of Barrel = sqrt((Space Diagonal of Barrel^2-Height of Barrel^2)/4)
r_Top/Bottom = sqrt((d_Space^2-h^2)/4)
This formula uses 1 Functions, 3 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

Radius at Top and Bottom of Barrel - (Measured in Meter) - Radius at Top and Bottom of Barrel is the radius measured at the top and bottom of Barrel.
Space Diagonal of Barrel - (Measured in Meter) - Space Diagonal of Barrel is a line connecting two opposite vertices of barrel across its volume, that are not on the same face.
Height of Barrel - (Measured in Meter) - Height of Barrel is the measure of Barrel from base to top.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Barrel: 16 Meter --> 16 Meter No Conversion Required
Height of Barrel: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Top/Bottom = sqrt((d_Space^2-h^2)/4) --> sqrt((16^2-12^2)/4)

Evaluating ... ...

r_Top/Bottom = 5.29150262212918

STEP 3: Convert Result to Output's Unit

5.29150262212918 Meter --> No Conversion Required

FINAL ANSWER

5.29150262212918 ≈ 5.291503 Meter <-- Radius at Top and Bottom of Barrel

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Radius of Barrel Calculators

Radius at Top and Bottom of Barrel

LaTeX Go Radius at Top and Bottom of Barrel = sqrt((3*Volume of Barrel)/(pi*Height of Barrel)-(2*Radius at Middle of Barrel^2))

Radius at Middle of Barrel

LaTeX Go Radius at Middle of Barrel = sqrt(((3*Volume of Barrel)/(pi*Height of Barrel)-Radius at Top and Bottom of Barrel^2)/2)

Radius at Top and Bottom of Barrel given Space Diagonal and Height

LaTeX Go Radius at Top and Bottom of Barrel = sqrt((Space Diagonal of Barrel^2-Height of Barrel^2)/4)

Radius at Top and Bottom of Barrel given Space Diagonal and Height Formula

LaTeX Go

Radius at Top and Bottom of Barrel = sqrt((Space Diagonal of Barrel^2-Height of Barrel^2)/4)
r_Top/Bottom = sqrt((d_Space^2-h^2)/4)

What is Barrel?

A Barrel or cask is a hollow cylindrical container with a bulging center, longer than it is wide. They are traditionally made of wooden staves and bound by wooden or metal hoops. The word vat is often used for large containers for liquids, usually alcoholic beverages; a small barrel or cask is known as a keg.The barrel has also been used as a standard size of measure referring to a set capacity or weight of a given commodity.

How to Calculate Radius at Top and Bottom of Barrel given Space Diagonal and Height?

Radius at Top and Bottom of Barrel given Space Diagonal and Height calculator uses Radius at Top and Bottom of Barrel = sqrt((Space Diagonal of Barrel^2-Height of Barrel^2)/4) to calculate the Radius at Top and Bottom of Barrel, Radius at Top and Bottom of Barrel given Space Diagonal and Height formula is defined as the straight line connecting the center and any point on the circular base of the Barrel, calculated using the space diagonal and height of the Barrel. Radius at Top and Bottom of Barrel is denoted by r_Top/Bottom symbol.

How to calculate Radius at Top and Bottom of Barrel given Space Diagonal and Height using this online calculator? To use this online calculator for Radius at Top and Bottom of Barrel given Space Diagonal and Height, enter Space Diagonal of Barrel (d_Space) & Height of Barrel (h) and hit the calculate button. Here is how the Radius at Top and Bottom of Barrel given Space Diagonal and Height calculation can be explained with given input values -> 5.291503 = sqrt((16^2-12^2)/4).

FAQ

What is Radius at Top and Bottom of Barrel given Space Diagonal and Height?

Radius at Top and Bottom of Barrel given Space Diagonal and Height formula is defined as the straight line connecting the center and any point on the circular base of the Barrel, calculated using the space diagonal and height of the Barrel and is represented as r_Top/Bottom = sqrt((d_Space^2-h^2)/4) or Radius at Top and Bottom of Barrel = sqrt((Space Diagonal of Barrel^2-Height of Barrel^2)/4). Space Diagonal of Barrel is a line connecting two opposite vertices of barrel across its volume, that are not on the same face & Height of Barrel is the measure of Barrel from base to top.

How to calculate Radius at Top and Bottom of Barrel given Space Diagonal and Height?

Radius at Top and Bottom of Barrel given Space Diagonal and Height formula is defined as the straight line connecting the center and any point on the circular base of the Barrel, calculated using the space diagonal and height of the Barrel is calculated using Radius at Top and Bottom of Barrel = sqrt((Space Diagonal of Barrel^2-Height of Barrel^2)/4). To calculate Radius at Top and Bottom of Barrel given Space Diagonal and Height, you need Space Diagonal of Barrel (d_Space) & Height of Barrel (h). With our tool, you need to enter the respective value for Space Diagonal of Barrel & Height of Barrel 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 Radius at Top and Bottom of Barrel?

In this formula, Radius at Top and Bottom of Barrel uses Space Diagonal of Barrel & Height of Barrel. We can use 1 other way(s) to calculate the same, which is/are as follows -

Radius at Top and Bottom of Barrel = sqrt((3*Volume of Barrel)/(pi*Height of Barrel)-(2*Radius at Middle of Barrel^2))

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