Question

Read the story problem, and then answer the questions that follow.Gordon works for a graphic design firm and is creating a label for a food truck vendor. The vendor specializes in finger food and wants to sell food in right conical containers so that they are easy for people to hold. To complete his label, Gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. Gordon has been told that the containers have a diameter of 4 inches and a height of 6 inches.

Answer 1

The slant height is the hypotenuse of the right triangle which legs are the radius of the cone and the height. Then we have:

`\begin{gathered} c^2=6^2+2^2 \\ c^2=36+4 \\ c^2=40 \\ c=\sqrt[]{40} \end{gathered}`

Therefore the slant height of the cone is the square root of 40. This is approximately 6.32.