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)
square inches
The funnel can be seen as a curved surface of a cone. To find the area of the curved surface, we need to find the circumference of the base of the cone and multiply it by the slant height.
The formula for the circumference of a circle is C = πd, where d is the diameter. In this case, the diameter is 6 inches, so the circumference is C = 3.14 * 6 = 18.84 inches.
Now, we can find the area of the curved surface by multiplying the circumference by the slant height: 18.84 inches * 4 inches = 75.36 square inches.
Therefore, the cook needs 75.36 square inches of parchment paper to cover the side of the funnel.