Answer
Ellipsoid
Work Step by Step
The given equation is:
\[
\frac{x^2}{9} + \frac{y^2}{25} + \frac{z^2}{4} = 1
\]
This follows the standard form of the Ellipsoid:
\[
\frac{x^2}{a^2} + \frac{y^2}{b^2} + \frac{z^2}{c^2} = 1
\]
From the equation, we identify:
\[
a = 3, \quad b = 5, \quad c = 2
\]
Intercepts:
\[
x = \pm 3, \quad y = \pm 5, \quad z = \pm 2
\]
