Cap Radius of Spherical Cap Calculator

✖Height of Spherical Cap is the maximum vertical distance from the base circle to the curved surface of the Spherical Cap.ⓘ Height of Spherical Cap [h]			+10% -10%
✖Sphere Radius of Spherical Cap is the radius of the sphere from which the Spherical Cap shape is cut.ⓘ Sphere Radius of Spherical Cap [r_Sphere]			+10% -10%

✖Cap Radius of Spherical Cap is the radius of the base circle of a Spherical Cap.ⓘ Cap Radius of Spherical Cap [r_Cap]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

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))
r_Cap = sqrt(h*((2*r_Sphere)-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

r_Cap = sqrt(h*((2*r_Sphere)-h)) --> sqrt(4*((2*10)-4))

Evaluating ... ...

r_Cap = 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 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Spherical Cap » Radius of Spherical Cap » Cap Radius of Spherical Cap » Cap Radius of Spherical Cap

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 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))
r_Cap = sqrt(h*((2*r_Sphere)-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 r_Cap 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 (r_Sphere) 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 r_Cap = sqrt(h*((2*r_Sphere)-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 (r_Sphere). 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)

Home

FREE PDFs

🔍 Search