Question

Obtain the equation of the revolution surface generated by the circumference with center at the origin and radius r>0, y² + z²= 0 , x=0, when rotating with the axis.

Answer 1

The equation of the revolution surface is x = r * cos(theta), y = r * sin(theta) * cos(alpha), z = r * sin(theta) * sin(alpha).

Step-by-step explanation:

The equation of the revolution surface generated by the circumference with center at the origin and radius r is given by the equation:

x = r * cos(θ)

y = r * sin(θ) * cos(α)

z = r * sin(θ) * sin(α)

Where θ is the angle of rotation and α is the angle of revolution.