Name: Class: Date: 8-Chapter 8 Indicate the answer choice that best completes the statement or answers the question. 1. What is the surface area of the cylinder? Round to the nearest tenth. a. 10,781.9 cm2 b. 4,628.4 cm2 c. 21,553.0 cm2 d. 15,750.2 cm2 What is the volume of each solid? Round to the nearest tenth if necessary. 2. Powered by Cognero Page 1 Name: Class: Date: 8-Chapter 8 Indicate the answer choice that best completes the statement or answers the question. 3. a. 329.9 yd3 b. 769.7 yd3 c. 2,309.1 yd3 d. 813.7 yd3 4. a. 113.1 in3 b. 339.3 in3 c. 9 in3 d. 84.9 in3 5. Powered by Cognero Page 2 Name: Class: Date: 8-Chapter 8 Indicate the answer choice that best completes the statement or answers the question. Find the volume of each solid. Round to the nearest tenth if necessary. 6. cone: diameter = 11 mm height = 11.2 mm a. 1,063.8 mm3 b. 288.6 mm3 c. 338.8 mm3 d. 354.8 mm3 7. a. 523.6 yd3 b. 261.8 yd3 c. 314.2 yd3 d. 1,570.8 yd3 8. a. 1.3 mm3 b. 0.4 mm3 c. 6.1 mm3 d. 6.9 mm3 Powered by Cognero Page 3 Name: Class: Date: 8-Chapter 8 Enter the appropriate value to answer the question or solve the problem. 9. Solid A is similar to Solid B. Solid B has a volume of 23,000 cubic meters. By what scale factor can you multiply every side of Solid A to get Solid B if the volume of Solid A is 23 cubic meters? Find the surface area of each solid. Round to the nearest tenth if necessary. Indicate the answer choice that best completes the statement or answers the question. 10. a. 157.1 m2 b. 383.3 m2 c. 226.2 m2 d. 565.4 m2 11. Powered by Cognero Page 4 Name: Class: Date: 8-Chapter 8 Indicate the answer choice that best completes the statement or answers the question. 12. What is the surface area of a cone with a radius of 6 meters and a slant height of 8 meters? Round to the nearest tenth. a. 904.0 m2 b. 452.0 m2 c. 1,055.2 m2 d. 263.9 m2 Enter the appropriate value to answer the question or solve the problem. 13. A cone has a volume of 350 cubic meters. The area of the base is 70 square meters. What is the height of the cone in meters? Indicate the answer choice that best completes the statement or answers the question. 14. A cylindrical tea cup has a height of 7 centimeters, and its base has a radius of 3 centimeters. What is the volume of the tea cup to the nearest tenth? a. 395.8 cm3 b. 197.9 cm3 c. 66.0 cm3 d. 28.3 cm3 Enter the appropriate value to answer the question or solve the problem. 15. Julie is making 8 coneshaped party hats for her sister’s birthday party from cardboard. Each party hat has a radius of 5 inches and a slant height of 6 inches. How many square inches of cardboard does Julie need? Round to the nearest tenth. Powered by Cognero Page 5 Name: Class: Date: 8-Chapter 8 Indicate the answer choice that best completes the statement or answers the question. 16. What is the volume of the composite shape to the nearest whole number? a. 366 in3 b. 336 in3 c. 619 in3 d. 283 in3 17. The popcorn containers at a movie theater are in the shape of cones. Suppose a popcorn container has a diameter of 12 inches and a slant height of 20 inches. What is the lateral area of the popcorn container rounded to the nearest inch? Justify your answer. Powered by Cognero Page 6 Name: Class: Date: 8-Chapter 8 Indicate the answer choice that best completes the statement or answers the question. 18. The storage tank shown below is to be painted. What is the surface area to be painted to the nearest tenth? Assume that the bottom does not need painting. a. 2,544.7 ft2 b. 1,837.8 ft2 c. 1,130.4 ft2 d. 7,771.5 ft2 Enter the appropriate value to answer the question or solve the problem. 19. Working separately, two bakers can make two wedding cakes in eight hours. Working at the same rate, how many wedding cakes can three bakers make in forty hours? Use the solve a simpler problem strategy. 20. Find the volume of the figure in cubic meters. Round to the nearest tenth if necessary. cylinder: radius = 3 m, height = 5.7 m Powered by Cognero Page 7 Name: Class: Date: 8-Chapter 8 Indicate the answer choice that best completes the statement or answers the question. 21. The popcorn containers at a movie theater are in the shape of cones. Suppose a popcorn container has a radius of 6 inches and a slant height of 14 inches. What is the lateral area of the popcorn container rounded to the nearest inch? a. 264 in2 b. 283 in2 c. 377 in2 d. 113 in2 Enter the appropriate value to answer the question or solve the problem. 22. Marcos is buying paint to cover 10 cylindrical-shaped benches. Each bench has a diameter of 2 feet and a height of 3 feet. How many square feet does Marcos need to cover with paint? Round to the nearest tenth. Powered by Cognero Page 8 Name: Class: Date: 8-Chapter 8 Answer Key 1. a 2. 2,799.2 cm3 3. b 4. a 5. 44.6 cm3 6. d 7. a 8. a 9. 10 10. b 11. 163.4 in2 12. d 13. 15 14. b 15. 754.0 16. c 17. 377 in2; 18. b 19. 15 20. 161.2 21. a 22. 251.3 Powered by Cognero Page 9
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