Chapter 10 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1 What is the surface area of a sphere with radius 7 cm? A. 7 cm 2 B. 14 cm 2 C. 49 cm 2 D. 28 cm 2 E. None of these 2 What is the volume of a hemisphere with radius 6 cm? F. 12 cm 3 G. 288 cm 3 H. 144 cm 3 I. 18 cm 3 J. None of these 3 Volume = 250 3 cm 3 r = cm Numeric Response 1 Volume 550 ft 3 r ft. (Round to the nearest unit.) 4 Volume = 128 3 cm 3 r = cm 2 Volume 1885 ft 3 r ft (Round to the Short Answer nearest unit.) 1 Volume =
2 Find the volume of the region between the cylinders. R = 14 in. r = 12 in. Volume = 4 Find the volume of the cone. Use 3.14 for. Round your answer to the nearest tenth. 13.4 m 5.5 m 5 Find the volume of the cylinder. Round your answer to the nearest tenth. 7mm 3 Find the volume of the region between the cylinders. R = 12 in. r = 8 in. Volume = 4 mm 6 Find the volume of the triangular prism. Round your answer to the nearest tenth.
15.5 cm 18 ft 7 cm 8.5 ft h = 7 cm 7 Find the volume of the figure. 11 Find the volume of the figure. Use 3.14 for. If necessary, round your answer to the nearest tenth. 16 ft 8 ft 9 cm 4.5 cm 21 ft 18 ft 13 ft 12 Find the volume of the figure. Round your answer to the nearest tenth. 8 A cylindrical container of potatoes has a diameter of 11 cm and a height of 9 cm. Find the volume of the container of potatoes. Give your answer in terms of. h = 15 m 9 Find the volume of the figure. 8.2 m 4 m 23 m 21 m 18 m 22 m 20 m 10 Find the volume of the figure. Use 3.14 for. If necessary, round your answer to the nearest tenth. 13 A convention center is in the shape of a rectangular pyramid with a height of 221 m. Its base measures 522 m by 500 m. Find the volume of the convention center. If necessary, round your answer to the nearest tenth. 14 A county has constructed a conical building to store sand. The cone has a height of 195 ft and a diameter of 307 ft. Find the volume of this building to the nearest hundredth. 15 Find the volume of the cone in cubic feet. Round your answer to the nearest tenth.
67m 41 m 16 Find the volume of the cylinder. Use 3.14 for. Round your answer to the nearest tenth. 8.4 m 14.5 m 17 Find the volume of the pyramid. Round your answer to the nearest tenth. h = 6 cm 5.5 cm 2.2 cm
Chapter 10 Practice Test Answer Section MULTIPLE CHOICE 1 ANS: D PTS: 1 DIF: Easy REF: Lesson 10.7 OBJ: Apply the surface area formula to solve problems TOP: Surface Area of a Sphere KEY: surface area sphere 2 ANS: H PTS: 1 DIF: Easy REF: Lesson 10.6 OBJ: Apply volume formulas to problems involving spheres or hemispheres TOP: Volume of a Sphere KEY: surface area sphere NUMERIC RESPONSE 1 ANS: 5 PTS: 1 DIF: Easy REF: Lesson 10.3 OBJ: Discover formulas for the volumes of pyramids and cones NAT: G.GMD.3 TOP: Volume of Pyramids and Cones KEY: cone volume radius 2 ANS: 10 PTS: 1 DIF: Easy REF: Lesson 10.3 OBJ: Discover formulas for the volumes of pyramids and cones NAT: G.GMD.3 TOP: Volume of Pyramids and Cones KEY: cone volume radius 3 ANS: 5 PTS: 1 DIF: Moderate REF: Lesson 10.6 OBJ: Apply volume formulas to problems involving spheres or hemispheres NAT: G.GMD.3 TOP: Volume of a Sphere KEY: hemisphere volume radius sphere 4 ANS: 4 PTS: 1 DIF: Moderate REF: Lesson 10.6 OBJ: Apply volume formulas to problems involving spheres or hemispheres NAT: G.GMD.3 TOP: Volume of a Sphere KEY: hemisphere volume radius sphere SHORT ANSWER 1 ANS: 90 in 3 283 in 3 PTS: 1 DIF: Easy REF: Lesson 10.2 OBJ: Discover formulas for finding the volumes of prisms and cylinders NAT: G.GMD.3 TOP: Volume of Prisms and Cylinders KEY: volume cylinder 2 ANS: 1040 in 3 3267 in 3
PTS: 1 DIF: Moderate REF: Lesson 10.4 OBJ: Solve applications involving polyhedrons, cones, cylinders, spheres, or hemispheres NAT: G.GMD.3 TOP: Volume Problems KEY: volume cylinder region between 3 ANS: 1600 in 3 5027 in 3 PTS: 1 DIF: Moderate REF: Lesson 10.4 OBJ: Solve applications involving polyhedrons, cones, cylinders, spheres, or hemispheres NAT: G.GMD.3 TOP: Volume Problems KEY: volume cylinder region between 4 ANS: 424.3 m 3 The volume of a cone is one-third the area of its base times its height. or, where PTS: 1 DIF: 1 OBJ: 8-9.2 Finding the Volume of a Cone STA: MA.7.G.2.1 TOP: 8-9 Volume of Pyramids and Cones KEY: cone volume NOT: 978-0-55-402984-9 5 ANS: 615.4 mm 3 The volume of a rectangular prism is the length times the width times the height:. The volume of a triangular prism is the area of the base times the height:. The volume of a cylinder is the area of the base times the height:. PTS: 1 DIF: 1 OBJ: 9-5.1 Finding the Volume of Prisms and Cylinders STA: MA.7.G.2.1 TOP: 9-5 Volume of Prisms and Cylinders KEY: volume prism cylinder NOT: 978-0-55-402985-6 6 ANS: 379.8 cm 3 The volume of a rectangular prism is the length times the width times the height:. The volume of a triangular prism is the area of the base times the height:. The volume of a cylinder is the area of the base times the height:. PTS: 1 DIF: 1 OBJ: 9-5.1 Finding the Volume of Prisms and Cylinders STA: MA.7.G.2.1 TOP: 9-5 Volume of Prisms and Cylinders KEY: volume prism cylinder NOT: 978-0-55-402985-6 7 ANS: 6,786 ft 3 The volume of this figure is the sum of the volume of the rectangular prism and the volume of the triangular prism. PTS: 1 DIF: 2 OBJ: 9-5.4 Finding the Volume of Composite Figures STA: MA.7.G.2.2 TOP: 9-5 Volume of Prisms and Cylinders KEY: volume composite figure NOT: 978-0-55-402985-6 8 ANS: 272.25 cm 3
To find the volume of the container, use the formula V = r 2 h. PTS: 1 DIF: 2 OBJ: 9-5.3 Application STA: MA.7.G.2.1 TOP: 9-5 Volume of Prisms and Cylinders KEY: volume prism cylinder NOT: 978-0-55-402985-6 9 ANS: 14,740 m 3 The volume of this figure is the sum of the volume of the rectangular prism and the volume of the triangular prism. PTS: 1 DIF: 2 OBJ: 9-5.4 Finding the Volume of Composite Figures STA: MA.7.G.2.2 TOP: 9-5 Volume of Prisms and Cylinders KEY: volume composite figure NOT: 978-0-55-402985-6 10 ANS: 1361.2 ft 3 The volume of a cone is one-third of the area of the circular base times the height. or, where r is the radius of the circular base. PTS: 1 DIF: 1 OBJ: 9-6.1 Finding the Volume of Pyramids and Cones 11 ANS: 190.8 cm 3 The volume of a cone is one-third of the area of the circular base times the height. or, where r is the radius of the circular base. PTS: 1 DIF: 1 OBJ: 9-6.1 Finding the Volume of Pyramids and Cones 12 ANS: 82 m 3 The volume of a pyramid is one-third of the area of the base times the height. PTS: 1 DIF: 1 OBJ: 9-6.1 Finding the Volume of Pyramids and Cones 13 ANS: 19,227,000 m 3 The volume of a pyramid is one-third of the area of the base times the height. PTS: 1 DIF: 2 OBJ: 9-6.3 Application 14 ANS: 4,809,055.23 ft 3
The volume of a cone is one-third of the area of the circular base times the height. or, where r is the radius of the circular base. The diameter is given, so divide the diameter by 2 to find the radius. Use the pi button on your calculator find the area of the base. Next, with the area of the base still displayed, find the volume of the cone. PTS: 1 DIF: 2 OBJ: 9-6.4 Using a Calculator to Find Volume 15 ANS: Step 1: Find the volume in cubic meters. Step 2: Find a conversion factor for feet to meters. Step 3: Convert the volume. Cube the linear conversion factor. The volume of the cone is about. PTS: 1 DIF: 2 OBJ: 9-10.2 Converting Units of Volume STA: MA.8.G.5.1 TOP: 9-10 Measurement in Three-Dimensional Figures NOT: 978-0-55-402985-6 16 ANS: 803.1 m 3 The volume of a cylinder is the area of its base times its height. or, where If the diameter is given, divide the diameter by 2 to find the radius. PTS: 1 DIF: 1 OBJ: 8-8.2 Using a Formula to Find the Volume of a Cylinder TOP: 8-8 Volume of Prisms and Cylinders NOT: 978-0-55-402984-9 STA: MA.7.G.2.1 KEY: cylinder volume
17 ANS: 24.2 cm 3 The volume of a rectangular pyramid is one-third the area of its base times its height. or, where PTS: 1 DIF: 1 OBJ: 8-9.1 Finding the Volume of a Pyramid STA: MA.7.G.2.1 TOP: 8-9 Volume of Pyramids and Cones KEY: pyramid volume NOT: 978-0-55-402984-9