A cook wants to cover the sides of a cone-shaped funnel with a 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 sqaure 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 of the cone.
The lateral area of a cone can be found using the formula: L.A. = π × r × l, where r is the radius of the base of the cone and l is the slant height.
Given that the diameter of the funnel is 6 inches, the radius (r) is half of the diameter, which is 6/2 = 3 inches.
Using 3.14 for π and the given slant height of 4 inches, the lateral area of the cone can be calculated as:
L.A. = 3.14 × 3 × 4
L.A. = 37.68 square inches
Therefore, the cook will need approximately 37.68 square inches of parchment paper to cover the side of the funnel. Rounded to the nearest hundredth, the answer is 37.68.