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.(
To calculate the surface area of the side of a cone, we need to find the lateral area. The lateral area of a cone is given by the formula L = π × r × l, where r is the radius of the base and l is the slant height.
Given that the diameter of the base is 6 inches, the radius is half of that, so r = 6/2 = 3 inches.
The slant height is given as 4 inches.
Now we can calculate the lateral area:
L = 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.