AMSCO'S Geometry. New York - Rye High School

464 The Geometry of Three Dimensions13. The diameter of the earth is about 7,960 miles. What is the surface area of the earth in termsof p?14. The diameter of the moon is about 2,160 miles. What is the surface area of the moon interms of p?15. A cylinder has a base congruent to a great circle of a sphere and a height equal to the diameterof the sphere. If the radius of the sphere is 16 centimeters, compare the lateral area ofthe cylinder and the surface area of the sphere.16. A cylinder has a base congruent to a great circle of a sphere and a height equal to the diameterof the sphere. If the diameter of the sphere is r, compare the lateral area of the cylinderand the surface area of the sphere.Hands-On ActivityA symmetry plane is a plane that divides a solid into two congruent parts. For each solid shownbelow, determine the number of symmetry planes and describe their position relative to the solid.a. b. c.Rectangular prismPrism withisosceles triangular baseRegular pyramidwith square based. e. f.Cube Cube Sphere Right circularcylinderCHAPTER SUMMARYDefinitionsto Know• Parallel lines in space are lines in the same plane that have no points incommon.• Skew lines are lines in space that are neither parallel nor intersecting.•A dihedral angle is the union of two half-planes with a common edge.• The measure of a dihedral angle is the measure of the plane angle formedby two rays each in a different half-plane of the angle and each perpendicularto the common edge at the same point of the edge.