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MMLU / Let C be the circle in the yz-plane whose equation is (y - 3)^2 + z^2 = 1. If C…

Problem

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question

Let C be the circle in the yz-plane whose equation is (y - 3)^2 + z^2 = 1. If C is revolved around the z-axis, the surface generated is a torus. What is the equation of this torus?

choices

  1. x^2 + y^2 + z^2 + 8 = 6y
  2. (x^2 + y^2 + z^2)^2 = 8 + 36(x^2 + z^2)
  3. (x^2 + y^2 + z^2 + 8)^2 = 36(x^2 + z^2)
  4. (x^2 + y^2 + z^2 + 8)^2 = 36(x^2 + y^2)

subject

college_mathematics

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