Volume of Capsule given Sphere Radius and Length Calculator

✖Sphere Radius of Capsule is a radial line from the focus to any point of a curve, of the Capsule.ⓘ Sphere Radius of Capsule [r_Sphere]			+10% -10%
✖Length of Capsule is the measurement or extent of the Capsule from one end to another.ⓘ Length of Capsule [l]			+10% -10%

✖Volume of Capsule is the amount of three-dimensional space covered by Capsule.ⓘ Volume of Capsule given Sphere Radius and Length [V]

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Formula

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Volume of Capsule given Sphere Radius and Length

Formula

`"V" = pi*"r"_{"Sphere"}^2*("l"-(2*"r"_{"Sphere"})/3)`

Example

`"1308.997m³"=pi*("5m")^2*("20m"-(2*"5m")/3)`

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Volume of Capsule given Sphere Radius and Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Capsule = pi*Sphere Radius of Capsule^2*(Length of Capsule-(2*Sphere Radius of Capsule)/3)
V = pi*r_Sphere^2*(l-(2*r_Sphere)/3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Volume of Capsule - (Measured in Cubic Meter) - Volume of Capsule is the amount of three-dimensional space covered by Capsule.
Sphere Radius of Capsule - (Measured in Meter) - Sphere Radius of Capsule is a radial line from the focus to any point of a curve, of the Capsule.
Length of Capsule - (Measured in Meter) - Length of Capsule is the measurement or extent of the Capsule from one end to another.

STEP 1: Convert Input(s) to Base Unit

Sphere Radius of Capsule: 5 Meter --> 5 Meter No Conversion Required
Length of Capsule: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = pi*r_Sphere^2*(l-(2*r_Sphere)/3) --> pi*5^2*(20-(2*5)/3)

Evaluating ... ...

V = 1308.99693899575

STEP 3: Convert Result to Output's Unit

1308.99693899575 Cubic Meter --> No Conversion Required

FINAL ANSWER

1308.99693899575 ≈ 1308.997 Cubic Meter <-- Volume of Capsule

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< 3 Volume of Capsule Calculators

Volume of Capsule given Cylinder Height and Length

Go Volume of Capsule = pi*((Length of Capsule-Cylinder Height of Capsule)/2)^2*((2*(Length of Capsule-Cylinder Height of Capsule))/3+Cylinder Height of Capsule)

Volume of Capsule

Go Volume of Capsule = pi*Sphere Radius of Capsule^2*((4*Sphere Radius of Capsule)/3+Cylinder Height of Capsule)

Volume of Capsule given Sphere Radius and Length

Go Volume of Capsule = pi*Sphere Radius of Capsule^2*(Length of Capsule-(2*Sphere Radius of Capsule)/3)

Volume of Capsule given Sphere Radius and Length Formula

Volume of Capsule = pi*Sphere Radius of Capsule^2*(Length of Capsule-(2*Sphere Radius of Capsule)/3)
V = pi*r_Sphere^2*(l-(2*r_Sphere)/3)

What is Capsule?

A Capsule (from Latin capsula, "small box or chest"), or stadium of revolution, is a basic three-dimensional geometric shape consisting of a cylinder with hemispherical ends. Another name for this shape is spherocylinder. It can also be referred to as an oval although the sides (either vertical or horizontal) are straight parallel. The shape is used for some objects like containers for pressurised gases, windows of places like a jet, software buttons, building domes (like the U.S. Capitol, having the windows of the top hat that depict The Apotheosis of Washington inside designed with the appearance of the shape & placed in an omnidirectional pattern), mirrors, and pharmaceutical capsules.

How to Calculate Volume of Capsule given Sphere Radius and Length?

Volume of Capsule given Sphere Radius and Length calculator uses Volume of Capsule = pi*Sphere Radius of Capsule^2*(Length of Capsule-(2*Sphere Radius of Capsule)/3) to calculate the Volume of Capsule, Volume of Capsule given Sphere Radius and Length formula is defined as the amount of three-dimensional space covered by Capsule, calculated using sphere radius and length of Capsule. Volume of Capsule is denoted by V symbol.

How to calculate Volume of Capsule given Sphere Radius and Length using this online calculator? To use this online calculator for Volume of Capsule given Sphere Radius and Length, enter Sphere Radius of Capsule (r_Sphere) & Length of Capsule (l) and hit the calculate button. Here is how the Volume of Capsule given Sphere Radius and Length calculation can be explained with given input values -> 1308.997 = pi*5^2*(20-(2*5)/3).

FAQ

What is Volume of Capsule given Sphere Radius and Length?

Volume of Capsule given Sphere Radius and Length formula is defined as the amount of three-dimensional space covered by Capsule, calculated using sphere radius and length of Capsule and is represented as V = pi*r_Sphere^2*(l-(2*r_Sphere)/3) or Volume of Capsule = pi*Sphere Radius of Capsule^2*(Length of Capsule-(2*Sphere Radius of Capsule)/3). Sphere Radius of Capsule is a radial line from the focus to any point of a curve, of the Capsule & Length of Capsule is the measurement or extent of the Capsule from one end to another.

How to calculate Volume of Capsule given Sphere Radius and Length?

Volume of Capsule given Sphere Radius and Length formula is defined as the amount of three-dimensional space covered by Capsule, calculated using sphere radius and length of Capsule is calculated using Volume of Capsule = pi*Sphere Radius of Capsule^2*(Length of Capsule-(2*Sphere Radius of Capsule)/3). To calculate Volume of Capsule given Sphere Radius and Length, you need Sphere Radius of Capsule (r_Sphere) & Length of Capsule (l). With our tool, you need to enter the respective value for Sphere Radius of Capsule & Length of Capsule 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 Capsule?

In this formula, Volume of Capsule uses Sphere Radius of Capsule & Length of Capsule. We can use 2 other way(s) to calculate the same, which is/are as follows -

Volume of Capsule = pi*((Length of Capsule-Cylinder Height of Capsule)/2)^2*((2*(Length of Capsule-Cylinder Height of Capsule))/3+Cylinder Height of Capsule)
Volume of Capsule = pi*Sphere Radius of Capsule^2*((4*Sphere Radius of Capsule)/3+Cylinder Height of Capsule)

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