To calculate for the total volume of the figure above, we add the separate volume of the cylinder and the cone. The volume of a cone is calculated from the product of the area of the circle times its height. The volume of the cone is calculated by 1/3 the product of the area of the base times the height.
V = Vcylinder + Vcone V = πr²h + πr²h/3 V = π(6)²11 + π(6)²9/3 V = 1583.4 in^3 -------> closest to third option