2. Complete the table to identify the effect tripling the radius of a cylinder s base has on its volume. Cylinder Height (cm) h
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1 Name: Period: Date: K. Williams ID: A 8th Grade Chapter 14 TEST REVIEW 1. Determine the volume of the cylinder. Use 3.14 for. 2. Complete the table to identify the effect tripling the radius of a cylinder s base has on its volume. Cylinder radius (cm) r Cylinder Area of Base (cm) A r 2 Cylinder Height (cm) h Cylinder Volume (cm 3 ) V r 2 h Identify the radius, diameter, and height of the cylinder. 5. Find the volume of this cylinder. Use 3.14 for. radius: diameter: height: 4. What is the formula for the volume of a cylinder? Define each variable. v = h = Volume = 6. A cylindrical-shaped mug has a diameter of 8 centimeters and a height of 10 centimeters. What is the volume of the mug? Use 3.14 for pi. a cubic centimeters b cubic centimeters c cubic centimeters d cubic centimeters r = Formula: 4
2 Name: ID: A 7. A cylinder has a radius of 8 inches and a volume of approximately cubic inches. What is the height of a cone with the same volume and radius as the cylinder? a. 12 inches b. 18 inches c. 24 inches d. 36 inches 8. What is the circumference of the base of the cylinder? Use 3.14 for pi. 11. Identify the radius, diameter, and height of the cone. radius: diameter: height: 12. What is the formula for the volume of a cone? Define each variable. v = h = a inches b inches c inches d What is the volume of the cylinder? Use 3.14 for. r = Formula: 13. What effect does doubling the radius of a cone have on the volume of the cone if the height remains the same? a. The volume is doubled. b. The volume is quadrupled. c. The volume is halved. d. The volume is multiplied by one-fourth. 14. What is the diameter of the cone? a cm 3 b cm 3 c cm 3 d cm What shape is the base of a cylinder? a. square b. rectangle c. triangle d. circle a. 2.5 millimeters b. 5 millimeters c. 10 millimeters d. 11 millimeters 2
3 Name: ID: A 15. What effect does doubling the height of a cone have on the volume of the cone if the radius remains the same? a. The volume is doubled. b. The volume is quadrupled. c. The volume is halved. d. The volume is multiplied by one-fourth. 16. What is the volume of the cone? Use 3.14 for pi. 20. A cone has a radius of 6 inches and a height of 9 inches. a. Calculate the volume of the cone. Use 3.14 for pi. Show your work! VOLUME = b. Calculate a possible radius and height of a cylinder that has the same volume as the cone. a cubic millimeters b cubic millimeters c cubic millimeters d cubic millimeters 17. A cone sits inside a cylinder, as shown. They share the same height and radius. What is the volume of the cylinder not taken up by the cone? Use 3.14 for. c. If the radius of the cylinder is the same as the radius of the cone, what is the height of the cylinder? Height of the cylinder = 21. a in. 3 b in. 3 c in. 3 d in Which shape describes the base of a cone? a. square b. rectangle c. circle d. triangle 19. Determine the volume of the cone. Use 3.14 for. Radius: Diameter: Distance from center to all other points: Circumference: Volume = 3
4 Name: ID: A 22. List the radius, diameter, distance of the center point to all other points on the sphere, and the approximate circumference. Use 3.14 for 26. The circumference of an orange is approximately centimeters. What is the approximate volume of the orange? Use 3.14 for pi. a cubic centimeters b cubic centimeters c cubic centimeters d cubic centimeters 27. What is the volume of a sphere with a radius of 3 inches? Use 3.14 for pi. Radius: Diameter: Distance from center to all other points: Circumference: 23. What is the formula for the volume of a Sphere? Define each variable. v = r = Formula: 24. r 7m Volume = 25. The volume of a mini-basketball is approximately cubic centimeters. What is the approximate radius of a mini-basketball? a cubic inches b cubic inches c cubic inches d cubic inches 28. Under the rules of the United States Golf Association, the volume of a golf ball cannot be less than 2.48 cubic inches. a. Calculate the radius of this golf ball. Radius = b. Calculate the circumference of this golf ball. Circumference = 29. A small waffle cone has a height of 6 inches and a diameter of 2.5 inches. Two scoops of sorbet are placed on the wide end of the cone. The scoops are spheres with a diameter of 2.5 inches. If all the sorbet melts into the cone, will the cone overflow? a centimeters b centimeters c. 21 centimeters d. 23 centimeters 4
5 8th Grade Chapter 14 TEST REVIEW Answer Section 1. ANS: V 3.14(2) 2 (6.5) 81.64in ANS: Cylinder radius (cm) r Cylinder Area of Base (cm) A r 2 Cylinder Height (cm) h Cylinder Volume (cm 3 ) V r 2 h When the radius of a cylinder is tripled, the volume of the cylinder is multiplied by ANS: The radius is 10 inches, the diameter is 20 inches, and the height is 15 inches. 4. ANS: V r 2 h where V volume, r radius, and h height 5. ANS: V 3.14(1.5) 2 (5) in ANS: A 7. ANS: D 8. ANS: C 9. ANS: C 10. ANS: D 11. ANS: The radius is 4 centimeters. The diameter is 8 centimeters. The height is 7 centimeters. REF:
6 12. ANS: V 1 3 r 2 h where V volume, r radius, and h height REF: ANS: B REF: ANS: C REF: ANS: A REF: ANS: C REF: ANS: B REF: ANS: C REF: ANS: V 1 3 (3.14)(5)2 (12) 314cm 3 REF:
7 20. ANS: Ê a. V 1 ˆ Ë Á 3 r 2 h Ê V 1 ˆ Ë Á 3 (6)2 (9) V cubic inches b. V r 2 h r 2 h 108 r 2 h 108 (2) 2 (h) 27 h Answers will vary. If the radius of the cylinder is 2 inches, then the height would have to be 27 inches. c. V r 2 h REF: ANS: Radius: 5.5 m r 2 h 108 r 2 h 108 (6) 2 (h) 3 h If the radius of the cylinder is the same as the radius of the cone, then the height of the cylinder would have to be 3 inches. Diameter: 11 m Center: 5.5 m from all points Circumference: 11 or about m 3
8 22. ANS: Radius: 4 m Diameter: 8 m Center: 4 m from all points Circumference: 8 or about m 23. ANS: V 4 3 r3 Where V = volume and r = radius 24. ANS: V 4 3 r3 V 4 3 (7)3 V V m ANS: A 26. ANS: C 27. ANS: D 4
9 28. ANS: Ê a. V 4 ˆ Ë Á 3 r3 Ê ˆ Ë Á 3 r r r r 3 r 0.84 The radius of the golf ball is approximately 0.84 inches. b. C 2 r C 2 (0.84) C ANS: V 1 3 r2 h The circumference of the golf ball is approximately 5.28 inches. V 1 3 (1.25)2 6 V 9.81 The volume of the cone is approximately 9.81 cubic inches. V 4 3 r 3 V 4 3 (1.25)3 V V The volume of two scoops of sorbet is approximately cubic inches. Since the volume of the sorbet is greater than the volume of the cone, the cone will overflow. REF:
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