Question

What is the volume of the composite figure? Use 3.14 for π and round the answer to the nearest tenth of a cubic unit.

Answer 1

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

Answer 2

1582.6^3 (choice c) is the best option