
06369062
j
2015a.00638
Coll, Vincent
Qirjollari, Maria
Characterizing power functions by hypervolumes of revolution.
Math. Mag. 87, No. 3, 225227 (2014).
2014
Mathematical Association of America (MAA), Washington, DC
EN
G95
I25
power functions
hypervolumes of revolution
hypersurface of revolution
doi:10.4169/math.mag.87.3.225
Summary: A power function is characterized by a certain constant volume ratio associated with the surface of revolution generated by the graph of the function. We generalize this characterization to include hypersurfaces of revolution and find that power functions are similarly identified bythe analogous ratio of hypervolumes of revolution. We write this ratio as an explicit function of the exponent of the power function and the dimension of the hypersurface.