Name Volume Spheres Date Class Practice Find the volume of each sphere. Round your answer to the nearest tenth if necessary. Use 3.14 for . Show your work by filling in the blanks with values from the diagrams. 1. 2. V= 4 r3 3 V= 4 r3 3 V= 4 • ______ • ______ 3 V= 4 • ______ • ______ * ______ 3 V= 4 • ______ • ______ 3 V= 4 • ______ • ______ * ______ 3 V _________________ V _________ Find the volume of each sphere. Use 3.14 for . V = 4 r3. Show your work. 3 3. A basic sphere has a diameter of 6 inches, a mini sphere has a diameter of 3 inches, and a maxi sphere has a diameter of 12 inches. a. Use the dimensions shown above to find the volume of each sphere to the nearest hundredth. Complete the table. Sphere Size Radius Volume Basic Sphere Mini Sphere Maxi Sphere b. How does the volume of the mini sphere compare to the volume of the basic sphere? ____________________________________________________________________ c. How does the volume of the maxi sphere compare to the volume of the basic sphere? d. Write an inequality that shows the volume of all 3 spheres ordered from least to greatest. ____________________________________________________________________ 4. A globe is a map of Earth shaped as a sphere. What is the volume to the nearest tenth of a globe with a diameter of 16 inches? 5. The maximum diameter of a bowling ball is 8.6 inches. What is the volume to the nearest tenth of a bowling ball with this diameter? Maintain Your Skills 1. The set designer for a play painted some background scenery on a large piece of plywood. He used a 13foot-long pole to hold the piece of plywood upright, as shown in the diagram below. What is h, the total height in feet of the piece of plywood? A 12 ft. B 13 ft. C 14 ft. D 15 ft. 2. Write an equation for the x- and y-values where the value of y is 3 more than the quotient of x and 2? Determine which table represents this equation. A B C D ANSWERS 1. V = 4 3 V= 4 3 3.14 93 V= 4 3 3.14 729 r 3 V 3,052.1 cm3 2. V = 4 3 r 3 V= 4 3 3.14 23 V= 4 3 3.14 8 V 33.5 m3 3. a b. The mini sphere is 1/8 the volume of the basic sphere. c. The volume of the maxi sphere is 8 times greater than the volume of the basic sphere. d. 14.13 113.04 904.32 4. 4 4 (3.14)(8)3 (3.14)(512) 3 3 2,143.5733 2,143.6 in3 5. 4 4 (3.14)(4.3)3 (3.14)(79.507) 332.8693 332.9 in.3 3 3 Maintain Your Skills 1. C 2. C
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