Cap Radius of Spherical Cap given Total Surface Area Calculator

✖Total Surface Area of Spherical Cap is the total quantity of two dimensional space enclosed on the base and curved surfaces of the Spherical Cap.ⓘ Total Surface Area of Spherical Cap [TSA]			+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%
✖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%

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

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Cap Radius of Spherical Cap given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cap Radius of Spherical Cap = sqrt(Total Surface Area of Spherical Cap/pi-(2*Sphere Radius of Spherical Cap*Height of Spherical Cap))
r_Cap = sqrt(TSA/pi-(2*r_Sphere*h))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Total Surface Area of Spherical Cap - (Measured in Square Meter) - Total Surface Area of Spherical Cap is the total quantity of two dimensional space enclosed on the base and curved surfaces 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.
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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Spherical Cap: 450 Square Meter --> 450 Square Meter No Conversion Required
Sphere Radius of Spherical Cap: 10 Meter --> 10 Meter No Conversion Required
Height of Spherical Cap: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Cap = sqrt(TSA/pi-(2*r_Sphere*h)) --> sqrt(450/pi-(2*10*4))

Evaluating ... ...

r_Cap = 7.9523234832787

STEP 3: Convert Result to Output's Unit

7.9523234832787 Meter --> No Conversion Required

FINAL ANSWER

7.9523234832787 ≈ 7.952323 Meter <-- Cap Radius of Spherical Cap

(Calculation completed in 00.008 seconds)

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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 given Total Surface Area Formula

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))
r_Cap = sqrt(TSA/pi-(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 given Total Surface Area?

Cap Radius of Spherical Cap given Total Surface Area calculator uses Cap Radius of Spherical Cap = sqrt(Total Surface Area of Spherical Cap/pi-(2*Sphere Radius of Spherical Cap*Height of Spherical Cap)) to calculate the Cap Radius of Spherical Cap, Cap Radius of Spherical Cap given Total Surface Area formula is defined as the radius of the base circle of a Spherical Cap, and calculated using the total surface area, height and sphere radius of the Spherical Cap. Cap Radius of Spherical Cap is denoted by r_Cap symbol.

How to calculate Cap Radius of Spherical Cap given Total Surface Area using this online calculator? To use this online calculator for Cap Radius of Spherical Cap given Total Surface Area, enter Total Surface Area of Spherical Cap (TSA), Sphere Radius of Spherical Cap (r_Sphere) & Height of Spherical Cap (h) and hit the calculate button. Here is how the Cap Radius of Spherical Cap given Total Surface Area calculation can be explained with given input values -> 7.952323 = sqrt(450/pi-(2*10*4)).

FAQ

What is Cap Radius of Spherical Cap given Total Surface Area?

Cap Radius of Spherical Cap given Total Surface Area formula is defined as the radius of the base circle of a Spherical Cap, and calculated using the total surface area, height and sphere radius of the Spherical Cap and is represented as r_Cap = sqrt(TSA/pi-(2*r_Sphere*h)) or Cap Radius of Spherical Cap = sqrt(Total Surface Area of Spherical Cap/pi-(2*Sphere Radius of Spherical Cap*Height of Spherical Cap)). Total Surface Area of Spherical Cap is the total quantity of two dimensional space enclosed on the base and curved surfaces of the Spherical Cap, Sphere Radius of Spherical Cap is the radius of the sphere from which the Spherical Cap shape is cut & Height of Spherical Cap is the maximum vertical distance from the base circle to the curved surface of the Spherical Cap.

How to calculate Cap Radius of Spherical Cap given Total Surface Area?

Cap Radius of Spherical Cap given Total Surface Area formula is defined as the radius of the base circle of a Spherical Cap, and calculated using the total surface area, height and sphere radius of the Spherical Cap is calculated using Cap Radius of Spherical Cap = sqrt(Total Surface Area of Spherical Cap/pi-(2*Sphere Radius of Spherical Cap*Height of Spherical Cap)). To calculate Cap Radius of Spherical Cap given Total Surface Area, you need Total Surface Area of Spherical Cap (TSA), Sphere Radius of Spherical Cap (r_Sphere) & Height of Spherical Cap (h). With our tool, you need to enter the respective value for Total Surface Area of Spherical Cap, Sphere Radius of Spherical Cap & Height 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 Total Surface Area of Spherical Cap, Sphere Radius of Spherical Cap & Height 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(Height of Spherical Cap*((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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