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Calotte area of Spherical Cap given volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (2*pi*((((3*Volume Polyhedron)/((Height^2)*pi))+Height)*(1/3))*Height)
A = (2*pi*((((3*Vpolyhedron)/((h^2)*pi))+h)*(1/3))*h)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Volume Polyhedron - Volume Polyhedron is amount of three dimensional space covered by polyhedron. (Measured in Cubic Meter)
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Volume Polyhedron: 1200 Cubic Meter --> 1200 Cubic Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (2*pi*((((3*Vpolyhedron)/((h^2)*pi))+h)*(1/3))*h) --> (2*pi*((((3*1200)/((12^2)*pi))+12)*(1/3))*12)
Evaluating ... ...
A = 501.59289474462
STEP 3: Convert Result to Output's Unit
501.59289474462 Square Meter --> No Conversion Required
FINAL ANSWER
501.59289474462 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

5 Calotte area of Spherical Cap Calculators

Calotte area of Spherical Cap given surface area and missing sphere radius
area = (2*pi*((1/(2*Height))*((Surface Area Polyhedron/pi)-(Radius 1^2)))*Height) Go
Calotte area of Spherical Cap given surface area
area = (2*pi*Radius*((1/(2*Radius))*((Surface Area Polyhedron/pi)-(Radius 1^2)))) Go
Calotte area of Spherical Cap given volume
area = (2*pi*((((3*Volume Polyhedron)/((Height^2)*pi))+Height)*(1/3))*Height) Go
Calotte area of Spherical Cap given spherical cap radius
area = (2*pi*((1/2)*(Height+((Radius 1^2)/Height)))*Height) Go
Calotte area of Spherical Cap
area = (2*pi*Radius*Height) Go

Calotte area of Spherical Cap given volume Formula

area = (2*pi*((((3*Volume Polyhedron)/((Height^2)*pi))+Height)*(1/3))*Height)
A = (2*pi*((((3*Vpolyhedron)/((h^2)*pi))+h)*(1/3))*h)

What is 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 Calotte area of Spherical Cap given volume?

Calotte area of Spherical Cap given volume calculator uses area = (2*pi*((((3*Volume Polyhedron)/((Height^2)*pi))+Height)*(1/3))*Height) to calculate the Area, Calotte area of Spherical Cap given volume formula is defined as area of curved part of the cap. Area and is denoted by A symbol.

How to calculate Calotte area of Spherical Cap given volume using this online calculator? To use this online calculator for Calotte area of Spherical Cap given volume, enter Volume Polyhedron (Vpolyhedron) & Height (h) and hit the calculate button. Here is how the Calotte area of Spherical Cap given volume calculation can be explained with given input values -> 501.5929 = (2*pi*((((3*1200)/((12^2)*pi))+12)*(1/3))*12).

FAQ

What is Calotte area of Spherical Cap given volume?
Calotte area of Spherical Cap given volume formula is defined as area of curved part of the cap and is represented as A = (2*pi*((((3*Vpolyhedron)/((h^2)*pi))+h)*(1/3))*h) or area = (2*pi*((((3*Volume Polyhedron)/((Height^2)*pi))+Height)*(1/3))*Height). Volume Polyhedron is amount of three dimensional space covered by polyhedron & Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Calotte area of Spherical Cap given volume?
Calotte area of Spherical Cap given volume formula is defined as area of curved part of the cap is calculated using area = (2*pi*((((3*Volume Polyhedron)/((Height^2)*pi))+Height)*(1/3))*Height). To calculate Calotte area of Spherical Cap given volume, you need Volume Polyhedron (Vpolyhedron) & Height (h). With our tool, you need to enter the respective value for Volume Polyhedron & Height 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 Area?
In this formula, Area uses Volume Polyhedron & Height. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • area = (2*pi*Radius*Height)
  • area = (2*pi*((1/2)*(Height+((Radius 1^2)/Height)))*Height)
  • area = (2*pi*((1/(2*Height))*((Surface Area Polyhedron/pi)-(Radius 1^2)))*Height)
  • area = (2*pi*((((3*Volume Polyhedron)/((Height^2)*pi))+Height)*(1/3))*Height)
  • area = (2*pi*Radius*((1/(2*Radius))*((Surface Area Polyhedron/pi)-(Radius 1^2))))
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