Volume of Semi Ellipsoid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Semi Ellipsoid = ((2/3)*pi*Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)
V = ((2/3)*pi*a*b*c)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Volume of Semi Ellipsoid - (Measured in Cubic Meter) - Volume of Semi Ellipsoid is the amount of three dimensional space occupied by Semi Ellipsoid.
Bisected Axis of Semi Ellipsoid - (Measured in Meter) - Bisected Axis of Semi Ellipsoid is the half of the first axis which is bisected when Semi Ellipsoid is formed from the complete Ellipsoid.
Second Semi Axis of Semi Ellipsoid - (Measured in Meter) - Second Semi Axis of Semi Ellipsoid is the length of the segment of second cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge.
Third Semi Axis of Semi Ellipsoid - (Measured in Meter) - Third Semi Axis of Semi Ellipsoid is the length of the segment of third cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge.
STEP 1: Convert Input(s) to Base Unit
Bisected Axis of Semi Ellipsoid: 10 Meter --> 10 Meter No Conversion Required
Second Semi Axis of Semi Ellipsoid: 6 Meter --> 6 Meter No Conversion Required
Third Semi Axis of Semi Ellipsoid: 4 Meter --> 4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = ((2/3)*pi*a*b*c) --> ((2/3)*pi*10*6*4)
Evaluating ... ...
V = 502.654824574367
STEP 3: Convert Result to Output's Unit
502.654824574367 Cubic Meter --> No Conversion Required
FINAL ANSWER
502.654824574367 502.6548 Cubic Meter <-- Volume of Semi Ellipsoid
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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1 Volume of Semi Ellipsoid Calculators

Volume of Semi Ellipsoid
Go Volume of Semi Ellipsoid = ((2/3)*pi*Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)

Volume of Semi Ellipsoid Formula

Volume of Semi Ellipsoid = ((2/3)*pi*Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid)
V = ((2/3)*pi*a*b*c)

What is Semi Ellipsoid?

Semi Ellipsoid (or hemi-ellipsoid, or half ellipsoid) is an ellipsoid, which is bisected at one axis along the other two axes. The surface area is calculated from half the approximation formula by Knud Thomsen, plus the area of the intersection ellipse.

What is Ellipsoid?

An Ellipsoid is a surface that may be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation. An ellipsoid is a quadric surface; that is, a surface that may be defined as the zero set of a polynomial of degree two in three variables.

How to Calculate Volume of Semi Ellipsoid?

Volume of Semi Ellipsoid calculator uses Volume of Semi Ellipsoid = ((2/3)*pi*Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid) to calculate the Volume of Semi Ellipsoid, The Volume of Semi Ellipsoid formula is defined as the amount of three dimensional space occupied by Semi Ellipsoid. Volume of Semi Ellipsoid is denoted by V symbol.

How to calculate Volume of Semi Ellipsoid using this online calculator? To use this online calculator for Volume of Semi Ellipsoid, enter Bisected Axis of Semi Ellipsoid (a), Second Semi Axis of Semi Ellipsoid (b) & Third Semi Axis of Semi Ellipsoid (c) and hit the calculate button. Here is how the Volume of Semi Ellipsoid calculation can be explained with given input values -> 502.6548 = ((2/3)*pi*10*6*4).

FAQ

What is Volume of Semi Ellipsoid?
The Volume of Semi Ellipsoid formula is defined as the amount of three dimensional space occupied by Semi Ellipsoid and is represented as V = ((2/3)*pi*a*b*c) or Volume of Semi Ellipsoid = ((2/3)*pi*Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid). Bisected Axis of Semi Ellipsoid is the half of the first axis which is bisected when Semi Ellipsoid is formed from the complete Ellipsoid, Second Semi Axis of Semi Ellipsoid is the length of the segment of second cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge & Third Semi Axis of Semi Ellipsoid is the length of the segment of third cartesian coordinate axis from the center of the elliptical face of Semi Ellipsoid to its boundary edge.
How to calculate Volume of Semi Ellipsoid?
The Volume of Semi Ellipsoid formula is defined as the amount of three dimensional space occupied by Semi Ellipsoid is calculated using Volume of Semi Ellipsoid = ((2/3)*pi*Bisected Axis of Semi Ellipsoid*Second Semi Axis of Semi Ellipsoid*Third Semi Axis of Semi Ellipsoid). To calculate Volume of Semi Ellipsoid, you need Bisected Axis of Semi Ellipsoid (a), Second Semi Axis of Semi Ellipsoid (b) & Third Semi Axis of Semi Ellipsoid (c). With our tool, you need to enter the respective value for Bisected Axis of Semi Ellipsoid, Second Semi Axis of Semi Ellipsoid & Third Semi Axis of Semi Ellipsoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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