To complete the container label, Gordon needs to know the lateral surface area of the container. The lateral surface area is fou
nd using , where is the radius of the container’s base, and is the slant height. What is the lateral surface area of the container? Round to the nearest hundredth, if necessary. Show your work.
Based on the radius of the container's base, and the slant height, the lateral surface area would be 21.23 in².
<h3>How can the lateral surface area be found?</h3>
= π x radius x slant height
The slant height is:
Cos BAC = BA / Slant height or AC
Cos 72° = 2 / AC
AC = 2 / Cos 72°
= 6.47 inch
The lateral surface is:
= 22/7 x 2 x 6.47
= 40.67 inch²
First part of question:
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 they're 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 given a model of the container and told that the diameter is 4 inches and the measure of angle BAC in the model is 72°.
