Surface Area of Cones Practice
Math 8 Q2 (Pre-Algebra) / Cones, Cylinders, & Spheres
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 surface area of the cone, we need to find the lateral surface area, which is the area of the curved surface.
The diameter of the base of the cone is 6 inches, so the radius is half of 6 inches, which is 3 inches.
The slant height of the cone is 4 inches.
The lateral surface area of a cone can be found using the formula:
Lateral Surface Area = π * radius * slant height
Substituting the given values:
Lateral Surface Area = 3.14 * 3 * 4
Lateral Surface Area ≈ 37.68
Therefore, approximately 37.68 square inches of parchment paper is needed to cover the side of the funnel.