Match each three-dimensional figure to its volume based on the given dimensions. (Assume π = 3.14.)a right cylinder with radius 4 cmand height 3 cm314 cu cma cone with radius 5 cm andheight 12 cm160 cu cma pyramid with base area16 sq cm and height 30 cm48 cu cma pyramid with a square base oflength 3 cm and height 16 cm150.72 cu cm

Answer:The volume of the cylinder is 150.72 cm³ ⇒ last answerThe volume of the cone is 314 cm³ ⇒ 1st answerThe volume of the pyramid is 160 cm³ ⇒ 2nd answerThe volume of the pyramid is 48 cm³ ⇒ 3rd answerStep-by-step explanation:* Lets revise the volumes of some shapes- The volume of the cylinder of radius r and height h is:  V = π r² h- The volume of the cone of radius r and height h is:  V = 1/3 π r² h- The volume of the pyramid is:  V = 1/3 × its base area × its height* Lets solve the problem# A cylinder with radius 4 cm and height 3 cm∵ V = π r² h∵ π = 3.14∵ r = 4 cm , h = 3 cm∴ v = 3.14 (4)² (3) = 150.72 cm³* The volume of the cylinder is 150.72 cm³# A cone with radius 5 cm and height 12 cm∵ V = 1/3 π r² h ∵ π = 3.14∵ r = 5 cm , h = 12 cm∴ V = 1/3 (3.14) (5)² (12) = 314 cm³* The volume of the cone is 314 cm³# A pyramid with base area 16 cm² and height 30 cm∵  V = 1/3 × its base area × its height∵ The area of the base is 16 cm²∵ The height = 30 cm∴ V = 1/3 (16) (30) = 160 cm³* The volume of the pyramid is 160 cm³# A pyramid with square base of length 3 cm and height 16 cm∵  V = 1/3 × its base area × its height∵ The area of the square = s²∵ The area of the base = 3² = 9 cm²∵ The height = 16 cm∴ V = 1/3 (9) (16) = 48 cm³* The volume of the pyramid is 48 cm³