Curved Surface Area 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%

✖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 given Total Surface Area [CSA]

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Curved Surface Area of Spherical Cap given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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

CSA = TSA-(2*pi*r_Sphere*h)+(pi*h^2) --> 450-(2*pi*10*4)+(pi*4^2)

Evaluating ... ...

CSA = 248.938070170253

STEP 3: Convert Result to Output's Unit

248.938070170253 Square Meter --> No Conversion Required

FINAL ANSWER

248.938070170253 ≈ 248.9381 Square Meter <-- Curved Surface Area of Spherical Cap

(Calculation completed in 00.004 seconds)

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< Curved Surface Area of Spherical Cap Calculators

Curved Surface Area of Spherical Cap given Total Surface Area

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

Curved Surface Area of Spherical Cap given Volume

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

Curved Surface Area of Spherical Cap given Cap Radius

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

Curved Surface Area of Spherical Cap

LaTeX Go Curved Surface Area of Spherical Cap = 2*pi*Sphere Radius of Spherical Cap*Height of Spherical Cap

Curved Surface Area of Spherical Cap given Total Surface Area 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 Curved Surface Area of Spherical Cap given Total Surface Area?

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

How to calculate Curved Surface Area of Spherical Cap given Total Surface Area using this online calculator? To use this online calculator for Curved Surface Area 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 Curved Surface Area of Spherical Cap given Total Surface Area calculation can be explained with given input values -> 248.9381 = 450-(2*pi*10*4)+(pi*4^2).

FAQ

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

Curved Surface Area of Spherical Cap given Total Surface Area formula is defined as the total quantity of two dimensional space enclosed on the curved surface of the Spherical Cap, and calculated using the total surface area, height and sphere radius of the Spherical Cap and is represented as CSA = TSA-(2*pi*r_Sphere*h)+(pi*h^2) or Curved Surface Area of Spherical Cap = Total Surface Area of Spherical Cap-(2*pi*Sphere Radius of Spherical Cap*Height of Spherical Cap)+(pi*Height of Spherical Cap^2). 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 Curved Surface Area of Spherical Cap given Total Surface Area?

Curved Surface Area of Spherical Cap given Total Surface Area formula is defined as the total quantity of two dimensional space enclosed on the curved surface of the Spherical Cap, and calculated using the total surface area, height and sphere radius of the Spherical Cap is calculated using Curved Surface Area of Spherical Cap = Total Surface Area of Spherical Cap-(2*pi*Sphere Radius of Spherical Cap*Height of Spherical Cap)+(pi*Height of Spherical Cap^2). To calculate Curved Surface Area 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 Curved Surface Area of Spherical Cap?

In this formula, Curved Surface Area 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 -

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

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