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What is the cylindrical equation of the surface whose spherical equation is rho=4

What is the cylindrical equation of the surface whose spherical equation is ρ=4 \rho=4

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Full solution

Q. What is the cylindrical equation of the surface whose spherical equation is ρ=4 \rho=4
  1. Convert to cylindrical coordinates: Convert the spherical equation to cylindrical coordinates. In spherical coordinates, ρ\rho represents the distance from the origin. The cylindrical equation needs rr (radial distance from the zz-axis) and zz (height).
  2. Check for errors and relevance: Check the derived equation for errors and relevance to the question prompt. The equation r2+z2=16r^2 + z^2 = 16 correctly represents the cylindrical form of the given spherical equation ρ=4\rho=4.

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