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IKMC 2012 - Grades 11-12 - Paper 01 - Self-study Question 22

IKMC · IKMC 2012 - Grades 11-12 - Paper 01 - Self-study

Question 22

Let a > b be the semiaxes of the ellipse shown, with a on the y-axis and b on the x-axis. Rotating it about the x-axis gives ellipsoid Eₓ; rotating it about the y-axis gives Eᵧ. Which statement is true?

Question illustration
  1. Eₓ = Eᵧ; Vol(Eₓ) = Vol(Eᵧ)
  2. Eₓ = Eᵧ; Vol(Eₓ) ≠ Vol(Eᵧ)
  3. Eₓ ≠ Eᵧ; Vol(Eₓ) > Vol(Eᵧ)
  4. Eₓ ≠ Eᵧ; Vol(Eₓ) < Vol(Eᵧ)
  5. Eₓ ≠ Eᵧ; Vol(Eₓ) = Vol(Eᵧ)