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Filling and Wrapping Unit Test ReviewStandards7.G.4 Know the formulas for the area and circumference of a circle and use them to solve problems.7.G.6 Solve real-world and mathematical problems involving volume and surface area of three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.8.G.9 Know the formulas for the volume of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.A children’s pony ride at the zoo has ponies attached to carousel pole in the center of a circle that the ponies walk around as children ride. The carousel pole is 12 feet long. How many feet does a pony walk to complete one trip around the circle? Find the exact and approximate answers. Use your calculator’s value of π and round your answers to the nearest hundredth.The zoo also has a merry-go-round. To set up the merry-go-round, the zoo manager has to clear some land. The diameter of the merry-go-round is 18 feet. How much land does the manager need to clear in order to build the merry-go-round? Find the exact and approximate answers. Use your calculator’s value of π and round your answers to the nearest hundredth.A circlular cookie cutter has a 2.5 inch radius. The top of each cookie will be covered in frosting after it’s baked. How much frosting is needed for each cookie? Find the exact and approximate answers. Use your calculator’s value of π and round your answers to the nearest hundredth.A manufacturing company is producing dinner plates with a diameter of 12 inches. They plan to put a gold edge on each plate. How much gold edging is needed for each plate? Find the exact and approximate answers. Use your calculator’s value of π and round your answers to the nearest hundredth.Jane is designing a rock climbing structure for a local park. Below is her finished structure.She wants to paint the structure to look a mossy cliff (she doesn’t need to paint underneath the structure). How much paint is needed? Show ALL work.How much concrete does the structure need? Show ALL work.Billy used three toy prisms, a cylinder, and a half-sphere to build a barn and a silo as pictured below.How much space do the barn and silo take up? Show ALL work.How much paint is needed to decorate the barn? Show ALL work.Find the volume of the solid below.Find the surface area of the solids below.The Student Government sells juice at school athletic events. They have been using cylinder-shaped containers with a 2-inch radius and an 8-inch height. Their supplier has suggested that they could also sell juice in cone-shaped containers with the same dimensions.How much juice will the cylinder-shaped container hold if it is filled to the rim?How much juice will the cone-shaped container hold if it is filled to the rim?Sylvia has just discovered that the valve on her cement truck failed during the night and that all the contents ran out to form a giant cone of hardened cement. To make an insurance claim, she needs to figure out how much cement is in the cone. The circumference of its base is 44 feet and it is 5 feet high. How much cement spilled out? Use your calculator’s value of π and round your answers to the nearest hundredth.George goes to the ice cream shop on a hot summer day! He watches as the delicious mint ice cream is packed inside the cone, and then an extra half-scoop is put on top. How much mint ice cream does George have? Use your calculator’s value of π and round your answers to the nearest hundredth.Ester is building a model tepee for a social studies project. How much space does the tepee have inside? Use your calculator’s value of π and round your answers to the nearest hundredth.Find the surface area of the tube shape below (don’t forget the inside!) Use your calculator’s value of π and round your answers to the nearest hundredth. ................
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