Curved Surface Area of Spherical Cap given Cap Radius 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%
✖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%

✖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 Cap Radius [CSA]

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Curved Surface Area of Spherical Cap given Cap Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Curved Surface Area of Spherical Cap = pi*(Height of Spherical Cap^2+Cap Radius of Spherical Cap^2)
CSA = pi*(h^2+r_Cap^2)
This formula uses 1 Constants, 3 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.
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

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

CSA = pi*(h^2+r_Cap^2) --> pi*(4^2+8^2)

Evaluating ... ...

CSA = 251.327412287183

STEP 3: Convert Result to Output's Unit

251.327412287183 Square Meter --> No Conversion Required

FINAL ANSWER

251.327412287183 ≈ 251.3274 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 Cap Radius Formula

LaTeX Go

Curved Surface Area of Spherical Cap = pi*(Height of Spherical Cap^2+Cap Radius of Spherical Cap^2)
CSA = pi*(h^2+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 Curved Surface Area of Spherical Cap given Cap Radius?

Curved Surface Area of Spherical Cap given Cap Radius calculator uses Curved Surface Area of Spherical Cap = pi*(Height of Spherical Cap^2+Cap Radius of Spherical Cap^2) to calculate the Curved Surface Area of Spherical Cap, Curved Surface Area of Spherical Cap given Cap Radius formula is defined as the total quantity of two dimensional space enclosed on the curved surface of the Spherical Cap, and calculated using the cap radius and height 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 Cap Radius using this online calculator? To use this online calculator for Curved Surface Area of Spherical Cap given Cap Radius, enter Height of Spherical Cap (h) & Cap Radius of Spherical Cap (r_Cap) and hit the calculate button. Here is how the Curved Surface Area of Spherical Cap given Cap Radius calculation can be explained with given input values -> 251.3274 = pi*(4^2+8^2).

FAQ

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

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

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

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

In this formula, Curved Surface Area of Spherical Cap uses 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 -

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

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