Ellipsoid Volume Calculator is a free online tool that displays the volume of an ellipsoid for the given radii. BYJU’S online ellipsoid volume calculator tool performs the calculation faster, and it displays the volume of the ellipsoid in a fraction of seconds.
How to Use the Ellipsoid Volume Calculator?
The procedure to use the ellipsoid volume calculator is as follows:
Step 1: Enter the radius values in the input field
Step 2: Now click the button “Solve” to get the volume
Step 3: Finally, the volume of ellipsoid will be displayed in the output field
What is Meant by Ellipsoid Volume?
In Mathematics, an ellipsoid is a surface which is obtained from the shape “sphere” by deforming it in terms of directional scalings. In other words, an ellipsoid is a squashed sphere. The three pairwise perpendicular axes of symmetry intersect at the centre of symmetry is called the centre of the ellipsoid. If the two axes have the same symmetry, then the ellipsoid is called the spheroid. If a, b and c are the radius, then the volume of the ellipsoid formula is given by
The volume of the ellipsoid, V = (4/3)πabc cubic units.
Example:
Find the volume of the ellipsoid whose radii are 21 cm, 15 cm and 2 cm.
Solution:
Given:
a= 21 cm
b =15 cm
c =2 cm
We know that the volume of the ellipsoid is (4/3)πabc cubic units
Now, substitute the values in the formula, we get
V = (4/3)π(21)(15)(2) cubic units
V = 2640 cm3.
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