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.

1 answer

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.