Surface Area of Capsule given Length and Sphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Capsule = 2*pi*Length of Capsule*Sphere Radius of Capsule
TSA = 2*pi*l*rSphere
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Total Surface Area of Capsule - (Measured in Square Meter) - Total Surface Area of Capsule is defined as the measure of the total amount of 2d space enclosed by all the faces 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.
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
Length of Capsule: 20 Meter --> 20 Meter No Conversion Required
Sphere Radius of Capsule: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = 2*pi*l*rSphere --> 2*pi*20*5
Evaluating ... ...
TSA = 628.318530717959
STEP 3: Convert Result to Output's Unit
628.318530717959 Square Meter --> No Conversion Required
FINAL ANSWER
628.318530717959 628.3185 Square Meter <-- Total Surface Area of Capsule
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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3 Total Surface Area of Capsule Calculators

Surface Area of Capsule
Go Total Surface Area of Capsule = (2*pi*Sphere Radius of Capsule)*((2*Sphere Radius of Capsule)+Cylinder Height of Capsule)
Surface Area of Capsule given Length and Cylinder Height
Go Total Surface Area of Capsule = pi*Length of Capsule*(Length of Capsule-Cylinder Height of Capsule)
Surface Area of Capsule given Length and Sphere Radius
Go Total Surface Area of Capsule = 2*pi*Length of Capsule*Sphere Radius of Capsule

Surface Area of Capsule given Length and Sphere Radius Formula

Total Surface Area of Capsule = 2*pi*Length of Capsule*Sphere Radius of Capsule
TSA = 2*pi*l*rSphere

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 Surface Area of Capsule given Length and Sphere Radius?

Surface Area of Capsule given Length and Sphere Radius calculator uses Total Surface Area of Capsule = 2*pi*Length of Capsule*Sphere Radius of Capsule to calculate the Total Surface Area of Capsule, Surface Area of Capsule given Length and Sphere Radius formula is defined as the measure of the total amount of 2d space enclosed by all the faces of the Capsule, calculated using the length and sphere radius of the Capsule. Total Surface Area of Capsule is denoted by TSA symbol.

How to calculate Surface Area of Capsule given Length and Sphere Radius using this online calculator? To use this online calculator for Surface Area of Capsule given Length and Sphere Radius, enter Length of Capsule (l) & Sphere Radius of Capsule (rSphere) and hit the calculate button. Here is how the Surface Area of Capsule given Length and Sphere Radius calculation can be explained with given input values -> 628.3185 = 2*pi*20*5.

FAQ

What is Surface Area of Capsule given Length and Sphere Radius?
Surface Area of Capsule given Length and Sphere Radius formula is defined as the measure of the total amount of 2d space enclosed by all the faces of the Capsule, calculated using the length and sphere radius of the Capsule and is represented as TSA = 2*pi*l*rSphere or Total Surface Area of Capsule = 2*pi*Length of Capsule*Sphere Radius of Capsule. Length of Capsule is the measurement or extent of the Capsule from one end to another & Sphere Radius of Capsule is a radial line from the focus to any point of a curve, of the Capsule.
How to calculate Surface Area of Capsule given Length and Sphere Radius?
Surface Area of Capsule given Length and Sphere Radius formula is defined as the measure of the total amount of 2d space enclosed by all the faces of the Capsule, calculated using the length and sphere radius of the Capsule is calculated using Total Surface Area of Capsule = 2*pi*Length of Capsule*Sphere Radius of Capsule. To calculate Surface Area of Capsule given Length and Sphere Radius, you need Length of Capsule (l) & Sphere Radius of Capsule (rSphere). With our tool, you need to enter the respective value for Length 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 Total Surface Area of Capsule?
In this formula, Total Surface Area of Capsule uses Length of Capsule & Sphere Radius of Capsule. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Total Surface Area of Capsule = (2*pi*Sphere Radius of Capsule)*((2*Sphere Radius of Capsule)+Cylinder Height of Capsule)
  • Total Surface Area of Capsule = pi*Length of Capsule*(Length of Capsule-Cylinder Height of Capsule)
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