Volume of Spherical Cap given Curved Surface Area and Height 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%
✖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%

✖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 Height [V]

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Formula

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Volume of Spherical Cap given Curved Surface Area and Height

Formula

`"V" = "h"/3*((3*"CSA")/2-(pi*"h"^2))`

Example

`"432.9794m³"="4m"/3*((3*"250m²")/2-(pi*("4m")^2))`

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Volume of Spherical Cap given Curved Surface Area and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Spherical Cap = Height of Spherical Cap/3*((3*Curved Surface Area of Spherical Cap)/2-(pi*Height of Spherical Cap^2))
V = h/3*((3*CSA)/2-(pi*h^2))
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Height of Spherical Cap: 4 Meter --> 4 Meter No Conversion Required
Curved Surface Area of Spherical Cap: 250 Square Meter --> 250 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = h/3*((3*CSA)/2-(pi*h^2)) --> 4/3*((3*250)/2-(pi*4^2))

Evaluating ... ...

V = 432.979356723418

STEP 3: Convert Result to Output's Unit

432.979356723418 Cubic Meter --> No Conversion Required

FINAL ANSWER

432.979356723418 ≈ 432.9794 Cubic Meter <-- Volume of Spherical Cap

(Calculation completed in 00.004 seconds)

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< 4 Volume of Spherical Cap Calculators

Volume of Spherical Cap given Curved Surface Area and Sphere Radius

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

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

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

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 Height Formula

Volume of Spherical Cap = Height of Spherical Cap/3*((3*Curved Surface Area of Spherical Cap)/2-(pi*Height of Spherical Cap^2))
V = h/3*((3*CSA)/2-(pi*h^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 Volume of Spherical Cap given Curved Surface Area and Height?

Volume of Spherical Cap given Curved Surface Area and Height calculator uses Volume of Spherical Cap = Height of Spherical Cap/3*((3*Curved Surface Area of Spherical Cap)/2-(pi*Height of Spherical Cap^2)) to calculate the Volume of Spherical Cap, Volume of Spherical Cap given Curved Surface Area and Height 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 height 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 Height using this online calculator? To use this online calculator for Volume of Spherical Cap given Curved Surface Area and Height, enter Height of Spherical Cap (h) & Curved Surface Area of Spherical Cap (CSA) and hit the calculate button. Here is how the Volume of Spherical Cap given Curved Surface Area and Height calculation can be explained with given input values -> 432.9794 = 4/3*((3*250)/2-(pi*4^2)).

FAQ

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

Volume of Spherical Cap given Curved Surface Area and Height 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 height of the Spherical Cap and is represented as V = h/3*((3*CSA)/2-(pi*h^2)) or Volume of Spherical Cap = Height of Spherical Cap/3*((3*Curved Surface Area of Spherical Cap)/2-(pi*Height of Spherical Cap^2)). Height of Spherical Cap is the maximum vertical distance from the base circle to the curved surface of the Spherical Cap & Curved Surface Area of Spherical Cap is the total quantity of two dimensional space enclosed on the curved surface of the Spherical Cap.

How to calculate Volume of Spherical Cap given Curved Surface Area and Height?

Volume of Spherical Cap given Curved Surface Area and Height 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 height of the Spherical Cap is calculated using Volume of Spherical Cap = Height of Spherical Cap/3*((3*Curved Surface Area of Spherical Cap)/2-(pi*Height of Spherical Cap^2)). To calculate Volume of Spherical Cap given Curved Surface Area and Height, you need Height of Spherical Cap (h) & Curved Surface Area of Spherical Cap (CSA). With our tool, you need to enter the respective value for Height of Spherical Cap & Curved Surface Area 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 Height of Spherical Cap & Curved Surface Area 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 = (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 = (pi*Height of Spherical Cap)/6*((3*Cap Radius of Spherical Cap^2)+Height of Spherical Cap^2)

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