Geometry Chapter 11 Review. 1 Find the surface area and volume of the figure. Where necessary, express your answer in terms of.
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1 Geometry hapter 11 Review Name: ate: 1 Find the surface area and volume of the figure. Where necessary, express your answer in terms of. 206 in. 2 ; 192 in in. 2 ; 192 in in. 2 ; 194 in in. 2 ; 190 in. 3 2 Find the surface area and volume of the figure. Leave your answers in terms of. 3 Find the surface area and volume of the figure. Leave your answers in terms of. square pyramid 670 m 2 ; 514 m m 2 ; 514 m m 2 ; 512 m m 2 ; 512 m 3 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 1 of 9
2 Geometry hapter 11 Review 4 Find the surface area and volume of a sphere with the given radius or diameter. Round your answer to the nearest tenth. r = 5 in in. 2 ; in in. 2 ; in in. 2 ; in in. 2 ; in. 3 5 Find the surface area and volume of a sphere with the given radius or diameter. Round your answer to the nearest tenth. d = 7 cm cm 2 ; cm cm 2 ; cm cm 2 ; cm cm 2 ; cm 3 6 For a party, Roberto wants to cover the lateral-area portion of some empty soup cans with paper. The cans measure 1.4 inches in radius and 4.5 inches in height. If he has 160 square inches of paper, about how many cans can he cover? opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 2 of 9
3 Geometry hapter 11 Review 7 Find the surface area of the figure to the nearest whole unit. 144 m m m m 2 8 The net of a cylinder and its dimensions in centimeters are shown in the picture. Which is the best estimate of the surface area of the cylinder? Use 3.14 for. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 3 of 9
4 Geometry hapter 11 Review 9 Find the surface area of the figure to the nearest whole unit. 3,676 ft 2 10,179 ft 2 2,449 ft 2 4,898 ft 2 10 space shuttle brings a docking module to a space station. The module is a cylinder with a 24 m diameter and a 46 m height. Which is the surface area of the docking module to the nearest tenth? m m m m 2 11 Which properly compares the formulas for the lateral areas of a prism and the lateral area of a cylinder? oth formulas involve multiplying the heights by the areas of the bases. oth formulas involve. oth formulas involve multiplying the height by the perimeter of a base. oth formulas contain a 2 because of the two bases. 12 The surface area of a cone is 600 square inches. If the lateral area of the cone is 375 square inches, what is the radius of the base? 15 inches 15 inches 25 inches 225 inches opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 4 of 9
5 Geometry hapter 11 Review 13 The Great Pyramids in Egypt are pyramids with square bases. One of them has sides of approximately 750 feet and a slant height of 500 feet. What is the approximate lateral surface area of this pyramid? 750,000 square feet 1,031,250 square feet 1,312,500 square feet 2,062,500 square feet 14 Find the surface area of a square pyramid with bases edges 5 m and slant height 3 m. 55 m 2 30 m 2 50 m 2 85 m 2 15 The radius of the base of a cone is 22 m. Its slant height is 10 m. Find the surface area in terms of. 16 Find the lateral area of a cone with radius 15 in. and height 20 in. Use 3.14 as an approximation of. Round to the nearest square inch. 279 in in. 2 1,178 in. 2 1,885 in. 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 5 of 9
6 Geometry hapter 11 Review 17 Find the volume of the cylinder to the nearest cubic foot. 173 ft 3 1,900 ft ft 3 1,115 ft 3 18 cylindrical soup can has height 10 centimeters and a base with diameter 8 centimeters. The can is filled with soup to centimeter below the lid. How many cubic centimeters of soup does the can contain? Use 3.14 for. 19 cylindrical tank has a diameter of 8 m and a height of 8 m. What is the volume of the tank? Use 3.14 for. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 6 of 9
7 Geometry hapter 11 Review 20 roller is made by taking a cylinder of radius 3 inches and height 8 inches and removing a cylinder with radius 2 inches and the same height. The roller is shown on its side in the figure. What is the volume of the roller? cubic inches cubic inches cubic inches cubic inches 21 Suppose you are building a storage box with a volume of 4368 cubic inches. The box will be 24 inches long. The height of the box will be 1 inch more than its width. Find the width of the box in inches. 12 inches 13 inches 14 inches 15 inches 22 What is the volume of the cone below? Use 3.14 for. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 7 of 9
8 Geometry hapter 11 Review 23 The pyramid shown has a rectangular base and faces that are isosceles triangles. Which of the following is the volume of the pyramid? 32 cubic units 64 cubic units 116 cubic units 192 cubic units 24 Find the surface area of a sphere with a diameter d = 4 ft. Round your answer to the nearest tenth ft ft ft ft 2 25 Find the surface area and volume of a sphere with a radius r = 0.8 ft. Round your answer to the nearest tenth. 7.8 ft 2 ; 2.6 ft ft 2 ; 1.8 ft ft 2 ; 2.1 ft ft 2 ; 2.3 ft 3 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 8 of 9
9 Geometry hapter 11 Review 26 Jason bought a bowling ball that had a diameter of about 8.75 in. What is the surface area of the bowling ball rounded to the nearest tenth of a square inch? Use 3.14 as an approximation for in in in in The circumference of a lacrosse ball is 8 in. Find its volume to the nearest tenth of a cubic inch. 9.4 in in in in Find the surface area and volume of the figure. Where necessary, express your answer in terms of. 34 cm 2 ; 14 cm 3 32 cm 2 ; 12 cm 3 36 cm 2 ; 12 cm 3 38 cm 2 ; 16 cm 3 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 9 of 9
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