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 find the area of the side of the cone-shaped funnel, we need to find the lateral area. The lateral area can be found using the formula:
Lateral area = π * r * s
where r is the radius of the base and s is the slant height.
Given that the diameter of the funnel is 6 inches, we can find the radius by dividing the diameter by 2:
radius = 6 inches / 2 = 3 inches
Substituting the values into the formula:
Lateral area = 3.14 * 3 inches * 4 inches
Lateral area = 37.68 square inches
Therefore, approximately 37.68 square inches of parchment paper is needed to cover the side of the funnel.