The answers of the given geometrical shapes are:1. 226.29 cubic yard2. 46.1 cubic inches3. 2413.71 cubic inches4. 234.67 cubic millimeter5. 340.48 cubic yards6. 113.14 cubic feet7. 528 cubic centimeter8. 905.14 cubic centimeter9. 56.57 cubic feetwhat is mensuration?Mensuration is the branch of geometry that deals with measurement of volumes and areas of geometrical shapes.Analysis:1. volume of cylinder =π [tex]r^{2}[/tex]h. where r = 6/2 = 3 yard, h = 8 yard = [tex]\frac{22}{7}[/tex] x [tex]3^{2}[/tex] x 8 = 226.29 cubic yard2. volume of cone = [tex]\frac{1}{3}[/tex] x π [tex]r^{2}[/tex]h. where r = 2inches, h = 11 = [tex]\frac{1}{3}[/tex] x [tex]2^{2}[/tex] x [tex]\frac{22}{7}[/tex] x 11 = 46.1 cubic inches3. volume of cylinder = π [tex]r^{2}[/tex]h. where r = 8, h = 12 = [tex]\frac{22}{7}[/tex] x [tex]8^{2}[/tex] x 12 = 2413.71 cubic inches4. volume of cone = [tex]\frac{1}{3}[/tex] x π [tex]r^{2}[/tex]h. where r = 4, h = 14 = [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex]4^{2}[/tex] x 14 = 234.67 cubic millimeter5. volume of cone = [tex]\frac{1}{3}[/tex] x π [tex]r^{2}[/tex]h. where r = 5, h = 13 = [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex]5^{2}[/tex] x 13 = 340.48 cubic yards6. volume of cylinder = π [tex]r^{2}[/tex]h. where r = 3, h = 4 = [tex]\frac{22}{7}[/tex] x [tex]3^{2}[/tex] x 4 = 113.14 cubic feet7. volume of cone = [tex]\frac{1}{3}[/tex] x π [tex]r^{2}[/tex]h. r = 6, h = 14 = [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex]6^{2}[/tex] x 14 = 528 cubic centimeter8. volume of cylinder = π [tex]r^{2}[/tex]h. where r = 6, h = 8 = [tex]\frac{22}{7}[/tex] x [tex]6^{2}[/tex] x 8 = 905.14 cubic centimeter9. volume of cylinder = π [tex]r^{2}[/tex]h. where r = 1.5, h = 4 = [tex]\frac{22}{7}[/tex] x [tex]1.5^{2}[/tex] x 4 = 56.57 cubic feetIn conclusion, the volume of cylinders and cones for the given dimensions are:1. 226.29 cubic yard2. 46.1 cubic inches3. 2413.71 cubic inches4. 234.67 cubic millimeter5. 340.48 cubic yards6. 113.14 cubic feet7. 528 cubic centimeter8. 905.14 cubic centimeter9. 56.57 cubic feetLearn more about mensuration: brainly.com/question/18541562#SPJ1