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Name ______________________________ Ch12s5 & Ch13s2 Homework Surface Area/Volume of Cones Find the surface area of each cone. Round to the nearest tenth. 1. 2. 3. 4. Find the surface area of a cone if the height is 8.7 meters and the slant height is 19.1 meters. of 4 Page 1 5. The surface area of a cone is 293.2 ft2 and the radius is 6.1 ft. Find the slant height. 6. A spotlight is positioned directly above a performer. If the lateral area of the cone of light is approximately 500 ft2 and the slant height is 20 ft, find the diameter of light on stage. 7. The "Fun Times For All" Company is constructing a conical tent for a festival. If the radius of the base is 6.1 ft and the slant height is 15 ft, what is the lateral area of the cone? 8. What if the x-coordinate of the solution of the system of equations below? Name ______________________________ Ch12s5 & Ch13s2 Homework Find the volume of each cone. Round to the nearest tenth if necessary. 9. 10. 11. of 4 Page 3 Find the volume of the solid. Round to the nearest tenth if necessary. 12. 13. Describe the effect on the volumes of a cone and a pyramid if the dimensions are doubled.