The limits of a region of sphere x^2 + y^2 + z^2 = a^2 in terms of cylindrical polar co-ordinates are __________________.

Question

The limits of a region of sphere    x^2 + y^2 + z^2 = a^2   in terms of cylindrical polar co-ordinates are __________________.

Answer

r = 0 	ext{ to } a, \quad 	heta = 0 	ext{ to } \pi, \quad z = -\sqrt{a^2 - r^2} 	ext{ to } \sqrt{a^2 - r^2}

Answer

r = 0 	ext{ to } a, \quad 	heta = 0 	ext{ to } \pi, \quad z = 0 	ext{ to } \sqrt{a^2 - r^2}

Answer

r = 0 	ext{ to } a, \quad 	heta = 0 	ext{ to } 2\pi, \quad z = -\sqrt{a^2 - r^2} 	ext{ to } \sqrt{a^2 - r^2}

Answer

r = 0 	ext{ to } a, \quad 	heta = 0 	ext{ to } 2\pi, \quad z = 0 	ext{ to } \sqrt{a^2 - r^2}

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