Cylinder Height of Capsule given Sphere Radius and Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cylinder Height of Capsule = Volume of Capsule/(pi*Sphere Radius of Capsule^2)-(4*Sphere Radius of Capsule)/3
hCylinder = V/(pi*rSphere^2)-(4*rSphere)/3
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Volume of Capsule: 1310 Cubic Meter --> 1310 Cubic Meter No Conversion Required
Sphere Radius of Capsule: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hCylinder = V/(pi*rSphere^2)-(4*rSphere)/3 --> 1310/(pi*5^2)-(4*5)/3
Evaluating ... ...
hCylinder = 10.012771369364
STEP 3: Convert Result to Output's Unit
10.012771369364 Meter --> No Conversion Required
FINAL ANSWER
10.012771369364 10.01277 Meter <-- Cylinder Height of Capsule
(Calculation completed in 00.011 seconds)

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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Cylinder Height of Capsule Calculators

Cylinder Height of Capsule given Sphere Radius and Surface Area
​ LaTeX ​ Go Cylinder Height of Capsule = Total Surface Area of Capsule/(2*pi*Sphere Radius of Capsule)-(2*Sphere Radius of Capsule)
Cylinder Height of Capsule given Sphere Radius and Volume
​ LaTeX ​ Go Cylinder Height of Capsule = Volume of Capsule/(pi*Sphere Radius of Capsule^2)-(4*Sphere Radius of Capsule)/3
Cylinder Height of Capsule given Surface Area and Length
​ LaTeX ​ Go Cylinder Height of Capsule = Length of Capsule-Total Surface Area of Capsule/(pi*Length of Capsule)
Cylinder Height of Capsule
​ LaTeX ​ Go Cylinder Height of Capsule = Length of Capsule-(2*Sphere Radius of Capsule)

Cylinder Height of Capsule given Sphere Radius and Volume Formula

​LaTeX ​Go
Cylinder Height of Capsule = Volume of Capsule/(pi*Sphere Radius of Capsule^2)-(4*Sphere Radius of Capsule)/3
hCylinder = V/(pi*rSphere^2)-(4*rSphere)/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 Cylinder Height of Capsule given Sphere Radius and Volume?

Cylinder Height of Capsule given Sphere Radius and Volume calculator uses Cylinder Height of Capsule = Volume of Capsule/(pi*Sphere Radius of Capsule^2)-(4*Sphere Radius of Capsule)/3 to calculate the Cylinder Height of Capsule, Cylinder Height of Capsule given Sphere Radius and Volume formula is defined as the distance between the lowest and highest points of the cylinder of the Capsule, calculated using sphere radius and volume. Cylinder Height of Capsule is denoted by hCylinder symbol.

How to calculate Cylinder Height of Capsule given Sphere Radius and Volume using this online calculator? To use this online calculator for Cylinder Height of Capsule given Sphere Radius and Volume, enter Volume of Capsule (V) & Sphere Radius of Capsule (rSphere) and hit the calculate button. Here is how the Cylinder Height of Capsule given Sphere Radius and Volume calculation can be explained with given input values -> 10.01277 = 1310/(pi*5^2)-(4*5)/3.

FAQ

What is Cylinder Height of Capsule given Sphere Radius and Volume?
Cylinder Height of Capsule given Sphere Radius and Volume formula is defined as the distance between the lowest and highest points of the cylinder of the Capsule, calculated using sphere radius and volume and is represented as hCylinder = V/(pi*rSphere^2)-(4*rSphere)/3 or Cylinder Height of Capsule = Volume of Capsule/(pi*Sphere Radius of Capsule^2)-(4*Sphere Radius of Capsule)/3. Volume of Capsule is the amount of three-dimensional space covered by Capsule & Sphere Radius of Capsule is a radial line from the focus to any point of a curve, of the Capsule.
How to calculate Cylinder Height of Capsule given Sphere Radius and Volume?
Cylinder Height of Capsule given Sphere Radius and Volume formula is defined as the distance between the lowest and highest points of the cylinder of the Capsule, calculated using sphere radius and volume is calculated using Cylinder Height of Capsule = Volume of Capsule/(pi*Sphere Radius of Capsule^2)-(4*Sphere Radius of Capsule)/3. To calculate Cylinder Height of Capsule given Sphere Radius and Volume, you need Volume of Capsule (V) & Sphere Radius of Capsule (rSphere). With our tool, you need to enter the respective value for Volume of Capsule & Sphere Radius 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 Cylinder Height of Capsule?
In this formula, Cylinder Height of Capsule uses Volume of Capsule & Sphere Radius of Capsule. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Cylinder Height of Capsule = Length of Capsule-Total Surface Area of Capsule/(pi*Length of Capsule)
  • Cylinder Height of Capsule = Length of Capsule-(2*Sphere Radius of Capsule)
  • Cylinder Height of Capsule = Total Surface Area of Capsule/(2*pi*Sphere Radius of Capsule)-(2*Sphere Radius of Capsule)
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