A kúp térfogata?

r legyen az alapkor sugara, b a palast alkotoja.

r^2+12^2 = b^2

A = r^2*Pi + r*Pi*b

Aa=r^2*Pi

A/Aa = (r^2*Pi +r*Pi*b)/(r^2*Pi) = 1 + b/r = 18/5

b/r = 13/5

b = 13r/5

r^2+12^2 = b^2

r^2+12^2 = (13r/5)^2

12^2 = r^2*144/25

r=5

V=r^2*Pi*m/3 = 25*Pi*12/3 = 100*Pi = 314 (cm2)