Lesson 1 Homework Practice
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1 Lesson 1 Homework Practice Volume of Cylinders Find the volume of each cylinder. Round to the nearest ft m 3. 9 yd 4 yd 6 ft 11 m mm in. 4.2 cm 3 mm 8 in. 2.1 cm 7. CONTAINER What is the volume of a barrel that has a diameter of feet and a height of 4 feet? ESTIMATION Match each cylinder with its approximate volume. 8. diameter = 4 cm, height = 3.6 cm a. 116 cm 3 9. radius = 2.7 cm, height = 5 cm b. 115 cm radius = 3 cm, height = 4.1 cm c. 106 cm diameter = 8.2 cm, height = 2 cm d. 45 cm FUEL Two fuel tanks with the dimensions shown have the same volume. What is the value of h? 3 ft 8 ft h 6 ft Course 3 Chapter 8 Volume and Surface Area 115
2 Lesson 2 Homework Practice Volume of Cones Find the volume of each cone. Round to the nearest 1. 2 in mm 5 in. 24 mm ft 10 in. 15 in. 9.9 ft cm 20 in. 8 cm in. 16 in. 9. height: 26.8 centimeters; radius: 12 centimeters 10. height: 34 feet; diameter: 9.8 feet Find the area of the base of each cone. 11. volume: 36 cubic inches; height: 9 inches 20 in. 300 mm 300 mm 12. volume: 238 cubic centimeters; height: 74 centimeters Course 3 Chapter 8 Volume and Surface Area 117
3 Lesson 3 Homework Practice Volume of Spheres Find the volume of each cone. Round to the nearest mm 22 in in. 7 cm in. 48 mm ft 12 mm 9. The radius of a mini-basketball is 4 inches. What is the volume? Round to the nearest 10. A necklace has a single pearl with a radius of 2.1 millimeters. What is the volume of the pearl? Round to the nearest Course 3 Chapter 8 Volume and Surface Area 119
4 Lesson 4 Homework Practice Surface Area of Cylinders Find the total surface area of each cylinder. Round to the nearest 1. 4 in. 15 in m 2 m ft 26 cm 11.6 ft 12 cm Estimate the total surface area of each cylinder cm 1.8 cm in in. 7. FENCE POST A cylindrical wooden fence post has a radius of 4 inches and a height of 48 inches. Find the surface area of the fence post. Round to the nearest 8. POSTER Walt is wrapping a poster enclosed in a cylindrical tube. The tube has a diameter of 6 centimeters and a length of 50 centimeters. Find the amount of wrapping paper Walt needs. Round to the nearest Course 3 Chapter 8 Volume and Surface Area 123
5 Lesson 5 Homework Practice Surface Area of Cones Find the lateral and total surface areas of each cone. Round to the nearest tenth if necessary ft 15 ft 9 ft 15 ft A = 28.3 in cm 13 cm 6 in cm 0.5 cm 12 cm 7. ALGEBRA A cone has a lateral surface area of 62.8 square yards. If the slant height is 2 yards, what is the total surface area of the cone? 5 cm Course 3 Chapter 8 Volume and Surface Area 125
6 Lesson 6 Homework Practice Changes in Dimensions 1. The surface area of a cube is 400 square millimeters. What is the surface area of a similar cube that is larger by a scale factor of 3? 2. CANDLES The volume of a candle is 8 cubic inches. What is the volume of a similar candle that is larger by a scale factor of 1.5? 3. TRAVEL The volume of a suitcase is 4.2 cubic feet. What is the volume of a suitcase that is smaller by a factor of 0.9? Round to the nearest 4. DELI A deli owner uses 215 square centimeters of plastic wrap to cover a wedge of cheese. How many square centimeters of plastic wrap would she need to cover a wedge of cheese with a similar shape that is smaller by a scale factor of 1? Round to the nearest 2 5. CRACKERS A box of crackers has a volume of 48 cubic inches. What is the volume of a similar box that is smaller by a scale factor of 2 3? 6. The surface area of a pyramid is 88 square feet. a. What is the surface area of a similar pyramid that is larger by a scale factor of 5? b. What is the surface area of a similar pyramid that is larger by a scale factor of 8? c. What is the surface area of a similar pyramid that is smaller by a scale factor of 1? Round to the nearest A cylinder was enlarged by a scale factor of 4. The new volume is 2,240 cubic units. What was the volume of the original cylinder? Course 3 Chapter 8 Volume and Surface Area 127
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16.3 Volume of Cones
Name Class Date 16. Volume of Cones Essential Question: How do you calculate the volumes of composite figures that include cones? Explore G.11.D Apply the formulas for the volume of three-dimensional figures,
Name Date PD. Volume
Name Date PD Volume Volume the number of cubic units needed to fill a solid. To find the volume of a prism or cylinder, multiply the base area (B) by the height h. Rectangular prisms Formula: V Bh (what