Unit 4 Performance Task Name: Zo 4.3.3 Justify the volume formula for a solid sphere. Learning Objective: 4.3.2 Justify the surface area formula for a sphere. spheres. Class period: The diagram to the right shows a conceptual model of a spherical star that generates and emits light energy. Here are the assumptions we will make about the star: • • Each cubic centimeter of the star's interior generates 3 x 10-7 watts of power. Each square centimeter of the star's surface shines 6,000 watts of power into space. 222 동 www m 1. Suppose the star has a radius of about 7 x 108 cm. How much power would the interior of the star generate? How much power would the star's surface shine into space? Which quantity is greater? ntedor energy = √(3x107) 310 = 700,000, 40UL740) urface enegy = SA (0) 473 2.93215153 4.31027E20 -wes 21.4366E27 Suppose the star has a radius of about 5 x 1012 cm. How much power would the interior of the star generate? How much power would the star's surface shine into space? Which quantity is greater? IC 0.7mm HB #2 Life on Earth depends on our Sun maintaining equilibrium, neither growing nor shrinking. Likewise, in this conceptual model of the star, if the star is too small, then he number of watts leaving the surface will exceed the number of watts generated the interior, and the star will cool down. If the star is too large, then the number -f watts generated in the interior will exceed the number of watts leaving the urface, and the star will heat up. What is the radius of the star for which the power -aving the surface equals the power generated in the interior? 4 3π²³ (3010)³) = 4π2-10000 Unit 4 Performance Task Name: Zo 4.3.3 Justify the volume formula for a solid sphere. Learning Objective: 4.3.2 Justify the surface area formula for a sphere. spheres. Class period: The diagram to the right shows a conceptual model of a spherical star that generates and emits light energy. Here are the assumptions we will make about the star: • • Each cubic centimeter of the star's interior generates 3 x 10-7 watts of power. Each square centimeter of the star's surface shines 6,000 watts of power into space. 222 동 www m 1. Suppose the star has a radius of about 7 x 108 cm. How much power would the interior of the star generate? How much power would the star's surface shine into space? Which quantity is greater? ntedor energy = √(3x107) 310 = 700,000, 40UL740) urface enegy = SA (0) 473 2.93215153 4.31027E20 -wes 21.4366E27 Suppose the star has a radius of about 5 x 1012 cm. How much power would the interior of the star generate? How much power would the star's surface shine into space? Which quantity is greater? IC 0.7mm HB #2 Life on Earth depends on our Sun maintaining equilibrium, neither growing nor shrinking. Likewise, in this conceptual model of the star, if the star is too small, then he number of watts leaving the surface will exceed the number of watts generated the interior, and the star will cool down. If the star is too large, then the number -f watts generated in the interior will exceed the number of watts leaving the urface, and the star will heat up. What is the radius of the star for which the power -aving the surface equals the power generated in the interior? 4 3π²³ (3010)³) = 4π2-10000