Cap Radius of Spherical Cap Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cap Radius of Spherical Cap = sqrt(Height of Spherical Cap*((2*Sphere Radius of Spherical Cap)-Height of Spherical Cap))
rCap = sqrt(h*((2*rSphere)-h))
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Cap Radius of Spherical Cap - (Measured in Meter) - Cap Radius of Spherical Cap is the radius of the base circle of a Spherical Cap.
Height of Spherical Cap - (Measured in Meter) - Height of Spherical Cap is the maximum vertical distance from the base circle to the curved surface of the Spherical Cap.
Sphere Radius of Spherical Cap - (Measured in Meter) - Sphere Radius of Spherical Cap is the radius of the sphere from which the Spherical Cap shape is cut.
STEP 1: Convert Input(s) to Base Unit
Height of Spherical Cap: 4 Meter --> 4 Meter No Conversion Required
Sphere Radius of Spherical Cap: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rCap = sqrt(h*((2*rSphere)-h)) --> sqrt(4*((2*10)-4))
Evaluating ... ...
rCap = 8
STEP 3: Convert Result to Output's Unit
8 Meter --> No Conversion Required
FINAL ANSWER
8 Meter <-- Cap Radius of Spherical Cap
(Calculation completed in 00.004 seconds)

Credits

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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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Cap Radius of Spherical Cap Calculators

Cap Radius of Spherical Cap given Total Surface Area
​ LaTeX ​ Go Cap Radius of Spherical Cap = sqrt(Total Surface Area of Spherical Cap/pi-(2*Sphere Radius of Spherical Cap*Height of Spherical Cap))
Cap Radius of Spherical Cap given Volume
​ LaTeX ​ Go Cap Radius of Spherical Cap = sqrt((2*Volume of Spherical Cap)/(pi*Height of Spherical Cap)-(Height of Spherical Cap^2)/3)
Cap Radius of Spherical Cap
​ LaTeX ​ Go Cap Radius of Spherical Cap = sqrt(Height of Spherical Cap*((2*Sphere Radius of Spherical Cap)-Height of Spherical Cap))
Cap Radius of Spherical Cap given Total Surface Area and Curved Surface Area
​ LaTeX ​ Go Cap Radius of Spherical Cap = sqrt((Total Surface Area of Spherical Cap-Curved Surface Area of Spherical Cap)/pi)

Cap Radius of Spherical Cap Formula

​LaTeX ​Go
Cap Radius of Spherical Cap = sqrt(Height of Spherical Cap*((2*Sphere Radius of Spherical Cap)-Height of Spherical Cap))
rCap = sqrt(h*((2*rSphere)-h))

What is a Spherical Cap?

In geometry, a Spherical Cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. It is also a spherical segment of one base, i.e., bounded by a single plane. If the plane passes through the center of the sphere, so that the height of the cap is equal to the radius of the sphere, the Spherical Cap is called a hemisphere.

How to Calculate Cap Radius of Spherical Cap?

Cap Radius of Spherical Cap calculator uses Cap Radius of Spherical Cap = sqrt(Height of Spherical Cap*((2*Sphere Radius of Spherical Cap)-Height of Spherical Cap)) to calculate the Cap Radius of Spherical Cap, Cap Radius of Spherical Cap formula is defined as the radius of the base circle of a Spherical Cap. Cap Radius of Spherical Cap is denoted by rCap symbol.

How to calculate Cap Radius of Spherical Cap using this online calculator? To use this online calculator for Cap Radius of Spherical Cap, enter Height of Spherical Cap (h) & Sphere Radius of Spherical Cap (rSphere) and hit the calculate button. Here is how the Cap Radius of Spherical Cap calculation can be explained with given input values -> 8 = sqrt(4*((2*10)-4)).

FAQ

What is Cap Radius of Spherical Cap?
Cap Radius of Spherical Cap formula is defined as the radius of the base circle of a Spherical Cap and is represented as rCap = sqrt(h*((2*rSphere)-h)) or Cap Radius of Spherical Cap = sqrt(Height of Spherical Cap*((2*Sphere Radius of Spherical Cap)-Height of Spherical Cap)). Height of Spherical Cap is the maximum vertical distance from the base circle to the curved surface of the Spherical Cap & Sphere Radius of Spherical Cap is the radius of the sphere from which the Spherical Cap shape is cut.
How to calculate Cap Radius of Spherical Cap?
Cap Radius of Spherical Cap formula is defined as the radius of the base circle of a Spherical Cap is calculated using Cap Radius of Spherical Cap = sqrt(Height of Spherical Cap*((2*Sphere Radius of Spherical Cap)-Height of Spherical Cap)). To calculate Cap Radius of Spherical Cap, you need Height of Spherical Cap (h) & Sphere Radius of Spherical Cap (rSphere). With our tool, you need to enter the respective value for Height of Spherical Cap & Sphere Radius of Spherical Cap 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 Cap Radius of Spherical Cap?
In this formula, Cap Radius of Spherical Cap uses Height of Spherical Cap & Sphere Radius of Spherical Cap. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Cap Radius of Spherical Cap = sqrt(Total Surface Area of Spherical Cap/pi-(2*Sphere Radius of Spherical Cap*Height of Spherical Cap))
  • Cap Radius of Spherical Cap = sqrt((Total Surface Area of Spherical Cap-Curved Surface Area of Spherical Cap)/pi)
  • Cap Radius of Spherical Cap = sqrt((2*Volume of Spherical Cap)/(pi*Height of Spherical Cap)-(Height of Spherical Cap^2)/3)
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