The owner of a local ice-cream shop has hired you to assist with ordering the ice-cream cones that are used at the ice-cream shop. The owner buys the ice-cream cones from a local manufacturer who makes the cones and ships them to ice-cream shops that order them. The manufacturing process requires that each ice-cream cone be wrapped in a cone-shaped paper wrapper with a flat, circular wrapper covering the top. The ice-cream cone and its dimensions are shown in the picture below. Each cone has a 2 inch diameter across the circular top and a slant height of 6 inches. The vertical height h from the bottom of the cone to the center of the circular top is unknown. 1) What is the radius of the circular top of the ice-cream cone? Use units to express your answer.
2) How did you determine your answer?
3) Below you see a list of expressions that can be used to model different components of the ice
cream cone. For each expression, r = radius, h = vertical height, and 6 in = slant height.

Determine which expression could be used to help find each component of the ice cream cone.