Demostracion derivada
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H/R = h/R-r
H = Rh/R-r H = 3/2 rh/3r/2 - r
V(R) = 1/3 R2 (Rh/R-r) H = 3/2 r h/1/2 r
V(R) = 1/3 h(R³/R-r) H = 3h
V' (R) = 1/3 h [ 3R² (R-r)- R³/R-r]
V' (R) = 1/3 h [ 2 R² - 3 R³r/R-r]
2r3 - 3R2r = 0
r2 (2R-3r) = 0
2R - 3r = 0
R = 3r/2
H = Rh/R-r H = 3/2 rh/3r/2 - r
V(R) = 1/3 R2 (Rh/R-r) H = 3/2 r h/1/2 r
V(R) = 1/3 h(R³/R-r) H = 3h
V' (R) = 1/3 h [ 3R² (R-r)- R³/R-r]
V' (R) = 1/3 h [ 2 R² - 3 R³r/R-r]
2r3 - 3R2r = 0
r2 (2R-3r) = 0
2R - 3r = 0
R = 3r/2