Question

Find the volume of ellipsoid x2/a2+y2/b2+z2/c2=1

Answer 1

Answer:

$\dfrac{4}{3}\pi a\ b\ c$

Step-by-step explanation:

In the same way that a circle turns into a solid sphere, an ellipse can become a solid "ellipsoid".

equation of ellipsoid

$\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}+\dfrac{z^2}{c^2} = 1$

where

a,b and c is in real number, It is the distance of the axis in x, y and z direction

so,

volume of the ellipsoid = $\dfrac{4}{3}\pi a\ b\ c$

Answer 2

Step-by-step explanation:

Answer:

\dfrac{4}{3}\pi a\ b\ c

3

4

πa b c

Step-by-step explanation:

In the same way that a circle turns into a solid sphere, an ellipse can become a solid "ellipsoid".

equation of ellipsoid

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}+\dfrac{z^2}{c^2} = 1

a

2

x

2

+

b

2

y

2

+

c

2

z

2

=1

where

a,b and c is in real number, It is the distance of the axis in x, y and z direction

so,

volume of the ellipsoid = \dfrac{4}{3}\pi a\ b\ c

3

4

πa b c