Skills Practice Skills Practice for Lesson 6.1
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1 Skills Practice Skills Practice for Lesson.1 Name Date As the Crow Flies Properties of Spheres Vocabulary Define each term in your own words. 1. sphere 2. diameter of a sphere 3. radius of a sphere 4. hemisphere 5. antipodes. great circle Chapter l Skills Practice 445
2 Problem Set Use the given information to answer the following questions. 1. A sphere has a radius of 10 centimeters. What is the length of its diameter? The diameter of the sphere is 20 centimeters. 2. A sphere has a radius of 2 inches. What is the length of its diameter? 3. The antipodes on a sphere are 8 centimeters apart. What is the radius of the sphere? 4. The antipodes on a sphere are 22 inches apart. What is the radius of the sphere? Calculate the circumference of the great circle for a sphere with the given measurements. Use 3.14 for. 5. A radius of 4 inches. C 2 r C 2 (4) C The great circle of the sphere has a circumference of 8 inches, or about inches.. A radius of 3 miles. 7. A diameter of 14 feet. 44 Chapter l Skills Practice
3 Name Date 8. A diameter of 3 centimeters. Calculate the radius of a sphere with the given measurements. Use 3.14 for. 9. The great circle has a circumference of 348 feet. C 2 r r 348 2r 174 r The radius of the sphere is 174 feet. 10. The great circle has a circumference of 90 meters. 11. The great circle has a circumference of 28 inches. Chapter l Skills Practice 447
4 12. The great circle has a circumference of 3 centimeters. 13. The great circle has a circumference of meters. 14. The great circle has a circumference of 29. inches. 448 Chapter l Skills Practice
5 Skills Practice Skills Practice for Lesson.2 Name Date Archimedes Was Ahead of His Time! Volume of a Sphere Vocabulary Match each diagram to the term that it best represents a. annulus b. cone c. cylinder d. hemisphere e. sphere 5.. Explain the term cross section in your own words and give an example. Chapter l Skills Practice 449
6 Problem Set Use the given information to answer each question. Use 3.14 for. Round your answers to the nearest hundredth, if necessary. 1. A cylinder has a base area of 20.2 square centimeters and a height of 3 centimeters. What is the volume of the cylinder? V Bh V 20.2(3) V 0.78 cubic centimeters 2. A cylinder has a base area of 14 square inches and a height of inches. What is the volume of the cylinder? 450 Chapter l Skills Practice
7 Name Date 3. A cylinder has a base radius of 2 feet and a height of 5 feet. What is the volume of the cylinder? 4. A cylinder has a base radius of 1.2 meters and a height of 2.4 meters. What is the volume of the cylinder? 5. A cylinder has a volume of 252 cubic meters and a height of meters. What is the diameter of the base of the cylinder? Chapter l Skills Practice 451
8 . A cylinder has a volume of 98 cubic centimeters and a height of 8 centimeters. What is the diameter of the base of the cylinder? Calculate the volume of each cone. Use 3.14 for. Round your answers to the nearest hundredth, if necessary. 7. A cone has a base area of 30 square centimeters and a height of 4 centimeters. V 1 3 Bh V 1 3 (30)(4) V 40 cubic centimeters 8. A cone has a base area of 9 square inches and a height of 9 inches. 9. A cone has a radius of 7 centimeters and a height of 12 centimeters. 452 Chapter l Skills Practice
9 Name Date 10. A cone has a radius of 9 meters and a height of 27 meters. Calculate the volume of a sphere with the given radius. Use 3.14 for. Round your answers to the nearest hundredth, if necessary. 11. radius 3 inches 12. radius 12 centimeters V 4 3 r3 V 4 3 (3)3 V 3 V cubic inches 13. radius 2.1 centimeters 14. radius.3 meters Calculate the radius and circumference of a sphere with the given volume. Use 3.14 for. Round your answers to the nearest hundredth, if necessary. 15. volume of sphere 7 cubic inches 1. volume of sphere 30 cubic meters V 4 3 r r r r 3 r 2.52 inches C 2 r C 2 (2.52) C inches Chapter l Skills Practice 453
10 17. volume of sphere 240 cubic feet 18. volume of sphere 711 cubic centimeters Calculate the radius and volume of a sphere with the given circumference. Use 3.14 for. Round your answers to the nearest hundredth, if necessary. 19. circumference of sphere 13.8 centimeters 20. circumference of sphere 9. inches C 2 r r.9 r r 2.20 centimeters V 4 3 r3 V 4 3 (2.2)3 V cubic centimeters 21. circumference of sphere 40.5 feet 22. circumference of sphere 3.4 meters 454 Chapter l Skills Practice
11 Skills Practice Skills Practice for Lesson.3 Name Date Surface Area Related to our Solar System Surface Area of a Sphere Vocabulary Write the term that best completes each statement. 1. The distance around a great circle of a sphere is called the. 2. The of a sphere is a segment that connects one point on the sphere to another point on the sphere and that passes through the center of the sphere. 3. The endpoints of a sphere s diameter are called the. 4. The length of a of a sphere can be found by dividing the diameter length by Diameter, radius, and circumference are measured in units.. Area and surface area are measured in units. 7. Volume is measured in units. 8. The number of square units needed to cover a solid figure is called the. Problem Set Calculate the surface area of a sphere with the given measure. Write your answer in terms of and as a decimal rounded to the nearest hundredth. Use 3.14 for. 1. radius 4 inches 2. radius 9 centimeters S 4 r 2 S 4 (4) 2 S 4 square inches S square inches Chapter l Skills Practice 455
12 3. radius 4.2 meters 4. radius.5 millimeters 5. diameter 32 centimeters. diameter 11.4 centimeters Calculate the surface area of a sphere with the given circumference C. Write your answers in terms of. 7. C 10 inches 8. C 14 centimeters C 2 r 10 2 r 5 r r 5 inches S 4 r 2 S 4 (5) 2 S 100 square inches 45 Chapter l Skills Practice
13 Name Date 9. C 7.5 meters 10. C 23 yards Complete the table for each sphere with the given radius. Express your answers in terms of. Radius Length (cm) Surface Area (cm 2 ) Volume (cm 3 ) Example: Chapter l Skills Practice 457
14 458 Chapter l Skills Practice
15 Skills Practice Skills Practice for Lesson.4 Name Date Cookies, Peanut Butter, Basketballs, and More! Applications Vocabulary 1. Explain how and why the volume of a sphere changes when the radius is halved. 2. Explain how and why the surface area of a sphere changes when the radius is halved. Problem Set Calculate the surface area and volume of a sphere with each of the following radii. Express your answers in two ways: as an exact answer in terms of, and as an approximate answer rounded to the nearest hundredth. Use 3.14 for. 1. r 15 inches 2. r 9 inches S 4 r 2 S 4 (15) 2 S 900 square inches S 282 square inches V 4 3 r3 V 4 3 (15)3 V 4500 cubic inches V 14,130 cubic inches Chapter l Skills Practice 459
16 3. r 2.1 millimeters 4. r 3.3 centimeters Answer each of the following questions. Use 3.14 for. Round to the nearest hundredths when necessary. 5. The diameter of a baseball is 2.9 inches. The diameter of a softball is 3.5 inches. How much more surface area does the softball have than the baseball? Softball: radius diameter S 4 r 2 S 4 (1.75) 2 S square inches Baseball: radius diameter S 4 r 2 S 4 (1.45) 2 S square inches square inches The softball has 12.0 square inches more surface area than the baseball. 40 Chapter l Skills Practice
17 Name Date. A beach ball has a circumference of 3 inches. A bowling ball has a circumference of 30 inches. How much more surface area does the beach ball have than the bowling ball? Chapter l Skills Practice 41
18 7. A spherical bubble with a radius of 3 centimeters floats and lands on a table, forming a perfect hemisphere. The volume of the shape does not change. What is the radius of the hemisphere? 8. A cubical box with interior edges of 18 inches contains a ball with a diameter of 18 inches. How much space is left inside the box? 42 Chapter l Skills Practice
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