The radius of the cone if half the radius of the cyliner

Step-by-step explanation:

Radius of cone (r) = Radius of cylinder (R) / 2

height of cone (h) = 2 * height of cylinder (H)

Volume of cone = 1/3 pie (R/2) ^2 (2H)

volume of cylinder = pie R^2 H

volume of cone/volume of cylinder = 1/3 * 1/4 * 2

= 1/6