, Question 1 A Which ofthe following statements is true for a sphere? A sphere is the set of all points in space equidistant from a line segment called the radius. A sphere is the set of all points in space equidistant from a point sailed the oenter. A sphere is the set of all points in a plane equidistant from a line segment sailed the radius. A sphere is the set of all points in a plane equidistant from a point sailed the center. Question 2 Z Ganymede. one of the moons oi Jupiter, can be modeled by a sphere with a diameter of approximately 5,263 kilometers. The Moon of Earth. by comparison. can be modeled by a sphere with a diameter of approximately 3,475 kilometersr The volume of Ganymede is approximately how manytimee the volume of Earth's Moon? Figure I 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 completelyr 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 ofthe following correctly compares the lengths ofthe Cords and bestjustifies the reason for this relationship? (.9 The length ofthe first cord must be approximately equal to the length ofthe second cord because the surface area ofthe hemisphere is the same as the area of its circular base. The length ofthe first cord must be approximately 2times the length of the second cord because the surface area of the hemisphere is 2 times the area of its Circular base. (9 The length ofthe first Cord must be approximately 4times the length of the second cord because the surface area of the hemisphere is 4 times the area of its Circular base. ([9 The length ofthe first cord must be approximately Stimes the length of the second cord because the surface area of the hemisphere is 8 times the area of its Circular base. v.. u. 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 rst cord around the hemisphere of the ball until it is completelyr 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. Suppose the interior of one of the hemispheres was completer lled with glue. Some ofthls glue was used to coverthe exterior of that hemisphere. not Including Its base. to a depth of approximately 0.5 centimeter so that the wrapped cord would stick. Given that the volume of glue used on the surface of the hemisphere is Bdacubic centimeters, what fraction of the original amount of glue that filled the hemisphere must be used to cover the exterior of the hemisphere as described? i s @6996) SI Question 6 : piece of ice in the shape of a cube with an edge length 01'2 inches is placed into an empty glass in the shape of a right circular cylinder with a diameter of 3 inches. Assuming that the volume of he solid ice cube ls equal to the volume of the water flom the melted ice, which of the following is closest to the height, in inches. of the watei in the glass when the ice cube melts? G) (D 0.3inch 1.1 inches 2.1 inches 3 .4 inches ndrew has a window garden box in the shape of a right trapezoidal prism with dimensions as shown in the gure. In order to buy enough potting soil to completelyr ll the window box. he needs to Ind its volume. What is the volume, in cubic centimeters, ofthe window garden box? 27,000 24,480 23,040 21,600 \fMike has wafe cones, each with a base diameter of 2.4 inches and a height of 5 inches. He wants to add one scoop of ice cream to each cone, where half of the scoop of ice cream sits inside the cone and half of the scoop sits on top ofthe cone. Each scoop of ice cream can be modeled by a sphere with a diameter of 2.4 inches. How much empty space remains in the cone after adding he scoop of ice cream? 0.3 cubic inch 1.2 cubic inches 3.9 cubic inches 3690(1) D 19.0 cubic inches \f\fbowling ball manufacturer ships 3 bowling balls in a cubic box with edge length 17 inches, as shown. The bowling balls that are packaged are all the same size and are tangent to each other and he sides ofthe box. To secure the bowling balls and prevent any damage during shipping, nely shredded paper is blown into all of the space not that is not taken up by the bowling balls. Which of he following is closestto the total volume, in cubic inches, of nely shredded paper that will be needed to completely ll the box of bowling balls to prepare for shipping? 2,341 (9 (9 GD