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'''Gabriel's horn''' is the [[surface]] obtained by revolving the [[graph]] of <math>y = 1/x</math> for <math>x \geq 1</math> about the <math>x</math>-axis. It has [[infinity|infinite]] [[area]], but encloses a [[finite]] [[volume]] of pi <math>\mathrm{units}^3</math>.  

'''Gabriel's horn''' is the [[surface]] obtained by revolving the [[graph]] of <math>y = 1/x\,</math> for <math>x \geq 1</math> about the <math>x</math>-axis. It is noteworthy for having [[infinity|infinite]] [[area]], but enclosing a [[finite]] [[volume]] (in the region with <math>x \geq 1</math>) of <math>\pi\,</math> cubic <math>\mathrm{units}</math>.  

[[Category:Mathematics]]

[[Category:Mathematics]]