Height of the cone is = 3/2 of height of the cylinder
Vcy = (Rco²×π×H)= volume of cylinder
Vco = (Rco²×π×H)/3= volume of cone
Vcy = Vco
Rco = 2 Rcy (radius)
height of the cone =?
Vcy = Vco
R² × π × Hcy = (2R² × π × Hco)/3
Hcy = (2R² × π × Hco)/ 3R² × π
Hcy = 2/3 Hco
so:
Hco = 3/2 Hcy