The lateral surface area of a cone can be calculated using the formula:
Lateral surface area = πrs
where r is the radius of the base of the cone and s is the slant height of the cone.
Given that the diameter of the cone is 6 inches, the radius (r) is half of that, so r = 6/2 = 3 inches.
Using the given slant height of 4 inches, the lateral surface area can be calculated as follows:
Lateral surface area = 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.
Question
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)
1 answer