Answer to Question #348528 in Analytic Geometry for Sravani

Question

Identify the surfaces of the following equations by converting them into equations in the Cartesian form. Show your complete solutions. z^2=4+4r^2

Answer 1

$$z^2=4+4r^2=>z^2=4+4x^2+4y^2$$ $$-\dfrac{x^2}{1^2}-\dfrac{y^2}{1^2}+\dfrac{z^2}{2^2}=1$$

The hyperboloid of two sheets.