Total Surface Area of Spherical Cap given Cap Radius Calculator

✖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 [r_Cap]			+10% -10%

✖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 given Cap Radius [TSA]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Total Surface Area of Spherical Cap given Cap Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Cap Radius of Spherical Cap - (Measured in Meter) - Cap Radius of Spherical Cap is the radius of the base circle of a Spherical Cap.

STEP 1: Convert Input(s) to Base Unit

Sphere Radius of Spherical Cap: 10 Meter --> 10 Meter No Conversion Required
Height of Spherical Cap: 4 Meter --> 4 Meter No Conversion Required
Cap Radius of Spherical Cap: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = pi*((2*r_Sphere*h)+r_Cap^2) --> pi*((2*10*4)+8^2)

Evaluating ... ...

TSA = 452.38934211693

STEP 3: Convert Result to Output's Unit

452.38934211693 Square Meter --> No Conversion Required

FINAL ANSWER

452.38934211693 ≈ 452.3893 Square Meter <-- Total Surface Area of Spherical Cap

(Calculation completed in 00.008 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Spherical Cap » Surface Area of Spherical Cap » Total Surface Area of Spherical Cap » Total Surface Area of Spherical Cap given Cap Radius

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!

< Total Surface Area of Spherical Cap Calculators

Total Surface Area of Spherical Cap given Surface to Volume Ratio

LaTeX Go Total Surface Area of Spherical Cap = pi/3*Surface to Volume Ratio of Spherical Cap*Height of Spherical Cap^2*((3*Sphere Radius of Spherical Cap)-Height of Spherical Cap)

Total Surface Area of Spherical Cap

LaTeX Go Total Surface Area of Spherical Cap = (4*pi*Sphere Radius of Spherical Cap*Height of Spherical Cap)-(pi*Height of Spherical Cap^2)

Total Surface Area of Spherical Cap given Cap Radius

LaTeX Go Total Surface Area of Spherical Cap = pi*((2*Sphere Radius of Spherical Cap*Height of Spherical Cap)+Cap Radius of Spherical Cap^2)

Total Surface Area of Spherical Cap given Volume and Surface to Volume Ratio

LaTeX Go Total Surface Area of Spherical Cap = Surface to Volume Ratio of Spherical Cap*Volume of Spherical Cap

Total Surface Area of Spherical Cap given Cap Radius Formula

LaTeX Go

Total Surface Area of Spherical Cap = pi*((2*Sphere Radius of Spherical Cap*Height of Spherical Cap)+Cap Radius of Spherical Cap^2)
TSA = pi*((2*r_Sphere*h)+r_Cap^2)

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 Total Surface Area of Spherical Cap given Cap Radius?

Total Surface Area of Spherical Cap given Cap Radius calculator uses Total Surface Area of Spherical Cap = pi*((2*Sphere Radius of Spherical Cap*Height of Spherical Cap)+Cap Radius of Spherical Cap^2) to calculate the Total Surface Area of Spherical Cap, Total Surface Area of Spherical Cap given Cap Radius formula is defined as the total quantity of two dimensional space enclosed on the base and curved surfaces of the Spherical Cap, and calculated using the cap radius, sphere radius and height of the Spherical Cap. Total Surface Area of Spherical Cap is denoted by TSA symbol.

How to calculate Total Surface Area of Spherical Cap given Cap Radius using this online calculator? To use this online calculator for Total Surface Area of Spherical Cap given Cap Radius, enter Sphere Radius of Spherical Cap (r_Sphere), Height of Spherical Cap (h) & Cap Radius of Spherical Cap (r_Cap) and hit the calculate button. Here is how the Total Surface Area of Spherical Cap given Cap Radius calculation can be explained with given input values -> 452.3893 = pi*((2*10*4)+8^2).

FAQ

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

Total Surface Area of Spherical Cap given Cap Radius formula is defined as the total quantity of two dimensional space enclosed on the base and curved surfaces of the Spherical Cap, and calculated using the cap radius, sphere radius and height of the Spherical Cap and is represented as TSA = pi*((2*r_Sphere*h)+r_Cap^2) or Total Surface Area of Spherical Cap = pi*((2*Sphere Radius of Spherical Cap*Height of Spherical Cap)+Cap Radius of Spherical Cap^2). 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 & Cap Radius of Spherical Cap is the radius of the base circle of a Spherical Cap.

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

Total Surface Area of Spherical Cap given Cap Radius formula is defined as the total quantity of two dimensional space enclosed on the base and curved surfaces of the Spherical Cap, and calculated using the cap radius, sphere radius and height of the Spherical Cap is calculated using Total Surface Area of Spherical Cap = pi*((2*Sphere Radius of Spherical Cap*Height of Spherical Cap)+Cap Radius of Spherical Cap^2). To calculate Total Surface Area of Spherical Cap given Cap Radius, you need Sphere Radius of Spherical Cap (r_Sphere), Height of Spherical Cap (h) & Cap Radius of Spherical Cap (r_Cap). With our tool, you need to enter the respective value for Sphere Radius of Spherical Cap, Height of Spherical Cap & Cap 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 Total Surface Area of Spherical Cap?

In this formula, Total Surface Area of Spherical Cap uses Sphere Radius of Spherical Cap, Height of Spherical Cap & Cap Radius of Spherical Cap. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Spherical Cap = Surface to Volume Ratio of Spherical Cap*Volume of Spherical Cap
Total Surface Area of Spherical Cap = (4*pi*Sphere Radius of Spherical Cap*Height of Spherical Cap)-(pi*Height of Spherical Cap^2)
Total Surface Area of Spherical Cap = pi/3*Surface to Volume Ratio of Spherical Cap*Height of Spherical Cap^2*((3*Sphere Radius of Spherical Cap)-Height of Spherical Cap)

Home

FREE PDFs

🔍 Search