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)

Answer 1

To cover the side of a cone-shaped funnel with parchment paper, we need to find the lateral surface area of the cone.

The formula for the lateral surface area of a cone is given by:

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.

The diameter of the funnel is given as 6 inches, so the radius (r) is half of that, which is 3 inches.

The slant height (l) is given as 4 inches.

Using the given value of π as 3.14, we can calculate the lateral surface area.

Lateral Surface Area = π * r * l
Lateral Surface Area = 3.14 * 3 * 4
Lateral Surface Area = 3.14 * 12
Lateral Surface Area = 37.68 square inches

Rounding to the nearest hundredth, the cook needs 37.68 square inches of parchment paper to cover the side of the funnel.