Volume of Capsule 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%
✖Cylinder Height of Capsule is the distance between the lowest and highest points of the cylinder of the Capsule.ⓘ Cylinder Height of Capsule [h_Cylinder]			+10% -10%

✖Volume of Capsule is the amount of three-dimensional space covered by Capsule.ⓘ Volume of Capsule [V]

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Volume of Capsule Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Capsule = pi*Sphere Radius of Capsule^2*((4*Sphere Radius of Capsule)/3+Cylinder Height of Capsule)
V = pi*r_Sphere^2*((4*r_Sphere)/3+h_Cylinder)
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.
Cylinder Height of Capsule - (Measured in Meter) - Cylinder Height of Capsule is the distance between the lowest and highest points of the cylinder of the Capsule.

STEP 1: Convert Input(s) to Base Unit

Sphere Radius of Capsule: 5 Meter --> 5 Meter No Conversion Required
Cylinder Height of Capsule: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = pi*r_Sphere^2*((4*r_Sphere)/3+h_Cylinder) --> pi*5^2*((4*5)/3+10)

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 00.007 seconds)

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< Volume of Capsule Calculators

Volume of Capsule given Cylinder Height and Length

LaTeX 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

LaTeX 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

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

Volume of Capsule Formula

LaTeX Go

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

What is a 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?

Volume of Capsule calculator uses Volume of Capsule = pi*Sphere Radius of Capsule^2*((4*Sphere Radius of Capsule)/3+Cylinder Height of Capsule) to calculate the Volume of Capsule, Volume of Capsule given Sphere Radius and Cylinder Height formula is defined as the amount of three-dimensional space covered by the Capsule. Volume of Capsule is denoted by V symbol.

How to calculate Volume of Capsule using this online calculator? To use this online calculator for Volume of Capsule, enter Sphere Radius of Capsule (r_Sphere) & Cylinder Height of Capsule (h_Cylinder) and hit the calculate button. Here is how the Volume of Capsule calculation can be explained with given input values -> 1308.997 = pi*5^2*((4*5)/3+10).

FAQ

What is Volume of Capsule?

Volume of Capsule given Sphere Radius and Cylinder Height formula is defined as the amount of three-dimensional space covered by the Capsule and is represented as V = pi*r_Sphere^2*((4*r_Sphere)/3+h_Cylinder) or Volume of Capsule = pi*Sphere Radius of Capsule^2*((4*Sphere Radius of Capsule)/3+Cylinder Height of Capsule). Sphere Radius of Capsule is a radial line from the focus to any point of a curve, of the Capsule & Cylinder Height of Capsule is the distance between the lowest and highest points of the cylinder of the Capsule.

How to calculate Volume of Capsule?

Volume of Capsule given Sphere Radius and Cylinder Height formula is defined as the amount of three-dimensional space covered by the Capsule is calculated using Volume of Capsule = pi*Sphere Radius of Capsule^2*((4*Sphere Radius of Capsule)/3+Cylinder Height of Capsule). To calculate Volume of Capsule, you need Sphere Radius of Capsule (r_Sphere) & Cylinder Height of Capsule (h_Cylinder). With our tool, you need to enter the respective value for Sphere Radius of Capsule & Cylinder Height 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 & Cylinder Height of Capsule. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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