Volume of Spherical Cap given Curved Surface Area and Sphere Radius Calculator

✖Curved Surface Area of Spherical Cap is the total quantity of two dimensional space enclosed on the curved surface of the Spherical Cap.ⓘ Curved Surface Area of Spherical Cap [CSA]			+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%

✖Volume of Spherical Cap is the total quantity of three dimensional space enclosed by the entire surface of the Spherical Cap.ⓘ Volume of Spherical Cap given Curved Surface Area and Sphere Radius [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Volume of Spherical Cap given Curved Surface Area and Sphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Spherical Cap = (Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap))/(24*pi^2*Sphere Radius of Spherical Cap^3)
V = (CSA^2*((6*pi*r_Sphere^2)-CSA))/(24*pi^2*r_Sphere^3)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Volume of Spherical Cap - (Measured in Cubic Meter) - Volume of Spherical Cap is the total quantity of three dimensional space enclosed by the entire surface of the Spherical Cap.
Curved Surface Area of Spherical Cap - (Measured in Square Meter) - Curved Surface Area of Spherical Cap is the total quantity of two dimensional space enclosed on 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

Curved Surface Area of Spherical Cap: 250 Square Meter --> 250 Square 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

V = (CSA^2*((6*pi*r_Sphere^2)-CSA))/(24*pi^2*r_Sphere^3) --> (250^2*((6*pi*10^2)-250))/(24*pi^2*10^3)

Evaluating ... ...

V = 431.394884895026

STEP 3: Convert Result to Output's Unit

431.394884895026 Cubic Meter --> No Conversion Required

FINAL ANSWER

431.394884895026 ≈ 431.3949 Cubic Meter <-- Volume of Spherical Cap

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Spherical Cap » Volume of Spherical Cap » Volume of Spherical Cap given Curved Surface Area and Sphere 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!

< Volume of Spherical Cap Calculators

Volume of Spherical Cap given Curved Surface Area and Sphere Radius

LaTeX Go Volume of Spherical Cap = (Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap))/(24*pi^2*Sphere Radius of Spherical Cap^3)

Volume of Spherical Cap given Curved Surface Area and Height

LaTeX Go Volume of Spherical Cap = Height of Spherical Cap/3*((3*Curved Surface Area of Spherical Cap)/2-(pi*Height of Spherical Cap^2))

Volume of Spherical Cap

LaTeX Go Volume of Spherical Cap = (pi*Height of Spherical Cap^2)/3*((3*Sphere Radius of Spherical Cap)-Height of Spherical Cap)

Volume of Spherical Cap given Cap Radius

LaTeX Go Volume of Spherical Cap = (pi*Height of Spherical Cap)/6*((3*Cap Radius of Spherical Cap^2)+Height of Spherical Cap^2)

Volume of Spherical Cap given Curved Surface Area and Sphere Radius Formula

LaTeX Go

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 Volume of Spherical Cap given Curved Surface Area and Sphere Radius?

Volume of Spherical Cap given Curved Surface Area and Sphere Radius calculator uses Volume of Spherical Cap = (Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap))/(24*pi^2*Sphere Radius of Spherical Cap^3) to calculate the Volume of Spherical Cap, Volume of Spherical Cap given Curved Surface Area and Sphere Radius formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Spherical Cap, and calculated using the curved surface area and sphere radius of the Spherical Cap. Volume of Spherical Cap is denoted by V symbol.

How to calculate Volume of Spherical Cap given Curved Surface Area and Sphere Radius using this online calculator? To use this online calculator for Volume of Spherical Cap given Curved Surface Area and Sphere Radius, enter Curved Surface Area of Spherical Cap (CSA) & Sphere Radius of Spherical Cap (r_Sphere) and hit the calculate button. Here is how the Volume of Spherical Cap given Curved Surface Area and Sphere Radius calculation can be explained with given input values -> 431.3949 = (250^2*((6*pi*10^2)-250))/(24*pi^2*10^3).

FAQ

What is Volume of Spherical Cap given Curved Surface Area and Sphere Radius?

Volume of Spherical Cap given Curved Surface Area and Sphere Radius formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Spherical Cap, and calculated using the curved surface area and sphere radius of the Spherical Cap and is represented as V = (CSA^2*((6*pi*r_Sphere^2)-CSA))/(24*pi^2*r_Sphere^3) or Volume of Spherical Cap = (Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap))/(24*pi^2*Sphere Radius of Spherical Cap^3). Curved Surface Area of Spherical Cap is the total quantity of two dimensional space enclosed on 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 Volume of Spherical Cap given Curved Surface Area and Sphere Radius?

Volume of Spherical Cap given Curved Surface Area and Sphere Radius formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Spherical Cap, and calculated using the curved surface area and sphere radius of the Spherical Cap is calculated using Volume of Spherical Cap = (Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap))/(24*pi^2*Sphere Radius of Spherical Cap^3). To calculate Volume of Spherical Cap given Curved Surface Area and Sphere Radius, you need Curved Surface Area of Spherical Cap (CSA) & Sphere Radius of Spherical Cap (r_Sphere). With our tool, you need to enter the respective value for Curved Surface Area 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 Volume of Spherical Cap?

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

Volume of Spherical Cap = (pi*Height of Spherical Cap^2)/3*((3*Sphere Radius of Spherical Cap)-Height of Spherical Cap)
Volume of Spherical Cap = Height of Spherical Cap/3*((3*Curved Surface Area of Spherical Cap)/2-(pi*Height of Spherical Cap^2))
Volume of Spherical Cap = (pi*Height of Spherical Cap)/6*((3*Cap Radius of Spherical Cap^2)+Height of Spherical Cap^2)

Home

FREE PDFs

🔍 Search