Question 40 Figure 1 Figure 2 Sylvia conducts an experiment using two long pieces of a cord and a spherical ball that has been cut in half. The radius of the spherical ball is 8 centimeters. She wraps the first cord around the hemisphere of the ball until it is completely covered, as shown in Figure 1. She cuts the cord and removes it from the ball. She then wraps the second cord around the bottom circle of the ball until it is completely covered, as shown in Figure 2. She again cuts the cord and removes it from the circular base. Which of the following correctly compares the lengths of the cords and best justifies the reason for this relationship? The length of the first cord must be approximately equal to the length of the second cord because the surface area of the hemisphere is the same as the area of its circular base. A B с D The length of the first cord must be approximately 2 times the length of the second cord because the surface area of the hemisphere is 2 times the area of its circular base. The length of the first cord must be approximately 4 times the length of the second cord because the surface area of the hemisphere is 4 times the area of its circular base. The length of the first cord must be approximately 8 times the length of the second cord because the surface area of the hemisphere is 8 times the area of its circular base. 503

Question 40 Figure 1 Figure 2 Sylvia conducts an experiment using two long pieces of a cord and a spherical ball that has been cut in half. The radius of the spherical ball is 8 centimeters. She wraps the first cord around the hemisphere of the ball until it is completely covered, as shown in Figure 1. She cuts the cord and removes it from the ball. She then wraps the second cord around the bottom circle of the ball until it is completely covered, as shown in Figure 2. She again cuts the cord and removes it from the circular base. Which of the following correctly compares the lengths of the cords and best justifies the reason for this relationship? The length of the first cord must be approximately equal to the length of the second cord because the surface area of the hemisphere is the same as the area of its circular base. A B с D The length of the first cord must be approximately 2 times the length of the second cord because the surface area of the hemisphere is 2 times the area of its circular base. The length of the first cord must be approximately 4 times the length of the second cord because the surface area of the hemisphere is 4 times the area of its circular base. The length of the first cord must be approximately 8 times the length of the second cord because the surface area of the hemisphere is 8 times the area of its circular base. 503

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.2: The Law Of Cosines

Problem 7E

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