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.

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asked Dec 3, 2024 226k views

1 Answer

Jithin Jude · Answer 1 · 2024-12-08T11:08:11+0000

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

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.