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
To find the area of the side of the cone-shaped funnel, we need to find the lateral surface area of the cone.
The lateral surface area of a cone is given by the formula:
Lateral surface area = π * r * l
Where r is the radius of the base of the cone and l is the slant height of the cone.
Given that the diameter of the base of the cone is 6 inches, the radius is half the diameter, so r = 6/2 = 3 inches. The slant height is given as 4 inches.
Therefore, the lateral surface area of the cone is:
Lateral surface area = π * 3 * 4 = 12π square inches.
So, approximately 37.7 square inches of parchment paper is needed to cover the side of the funnel.