Volume of Capsule given Cylinder Height and Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
V = pi*((l-hCylinder)/2)^2*((2*(l-hCylinder))/3+hCylinder)
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.
Length of Capsule - (Measured in Meter) - Length of Capsule is the measurement or extent of the Capsule from one end to another.
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
Length of Capsule: 20 Meter --> 20 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*((l-hCylinder)/2)^2*((2*(l-hCylinder))/3+hCylinder) --> pi*((20-10)/2)^2*((2*(20-10))/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 00.004 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 Cylinder Height and Length Formula

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)
V = pi*((l-hCylinder)/2)^2*((2*(l-hCylinder))/3+hCylinder)

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 Cylinder Height and Length?

Volume of Capsule given Cylinder Height and Length calculator uses 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) to calculate the Volume of Capsule, Volume of Capsule given Cylinder Height and Length formula is defined as an amount of three-dimensional space covered by the Capsule, calculated using its cylinder height and length. Volume of Capsule is denoted by V symbol.

How to calculate Volume of Capsule given Cylinder Height and Length using this online calculator? To use this online calculator for Volume of Capsule given Cylinder Height and Length, enter Length of Capsule (l) & Cylinder Height of Capsule (hCylinder) and hit the calculate button. Here is how the Volume of Capsule given Cylinder Height and Length calculation can be explained with given input values -> 1308.997 = pi*((20-10)/2)^2*((2*(20-10))/3+10).

FAQ

What is Volume of Capsule given Cylinder Height and Length?
Volume of Capsule given Cylinder Height and Length formula is defined as an amount of three-dimensional space covered by the Capsule, calculated using its cylinder height and length and is represented as V = pi*((l-hCylinder)/2)^2*((2*(l-hCylinder))/3+hCylinder) or 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). Length of Capsule is the measurement or extent of the Capsule from one end to another & 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 given Cylinder Height and Length?
Volume of Capsule given Cylinder Height and Length formula is defined as an amount of three-dimensional space covered by the Capsule, calculated using its cylinder height and length is calculated using 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). To calculate Volume of Capsule given Cylinder Height and Length, you need Length of Capsule (l) & Cylinder Height of Capsule (hCylinder). With our tool, you need to enter the respective value for Length 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 Length 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*Sphere Radius of Capsule^2*((4*Sphere Radius of Capsule)/3+Cylinder Height of Capsule)
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