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.

Answer 1

The cook needs about 37.7 square inches of parchment paper.

Here is the solution:

Given:

Diameter of the funnel: 6 inches

Slant height of the funnel: 4 inches

Pi (π): 3.14

Formula:

The lateral surface area of a cone is calculated using the following formula:

Lateral Surface Area = π * radius * slant height

Solution:

1. Calculate the radius:

radius = diameter / 2

radius = 6 inches / 2

radius = 3 inches

2. Calculate the lateral surface area:

Lateral Surface Area = 3.14 * 3 inches * 4 inches

Lateral Surface Area ≈ 37.68 square inches

Therefore, approximately 37.68 square inches of parchment paper is needed to cover the side of the funnel.