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 answer

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.