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)
square inches
The circumference of the base of the cone can be found using the formula C = πd, where d is the diameter. Plugging in the given diameter of 6 inches, we get C = 3.14 * 6 = 18.84 inches.
To find the area of the parchment paper needed to cover the side of the cone, we need to find the lateral area of the cone. The lateral area can be found using the formula A = πrl, where r is the radius (half the diameter) and l is the slant height. Plugging in the given values of r = 3 inches and l = 4 inches, we get A = 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.