Question
A cook wants to cover the side of a cone-shaped funnel with parchment paper to avoid any leaks or spills. The funnel has a diameter of 6 inches and a slant height of 4 inches. How many square inches of parchment paper is needed to cover the side of the funnel? Use 3.14 for pi and round your answer to the nearest hundredth.(1 point)
The lateral surface area of a cone can be calculated using the formula:
Lateral surface area = πrs
where r is the radius of the base of the cone and s is the slant height of the cone.
Given that the diameter of the cone is 6 inches, the radius (r) is half of that, so r = 6/2 = 3 inches.
Using the given slant height of 4 inches, the lateral surface area can be calculated as follows:
Lateral surface area = 3.14 * 3 * 4 = 37.68 square inches
Therefore, approximately 37.68 square inches of parchment paper is needed to cover the side of the funnel.