Question

surface area of cones practice
complete this assessment to review what youve learned. it will not count toward your grade.
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
check answer remaining attempts: 3

Explanation:

Step1: Find the radius

The diameter \(d = 6\) inches. The radius \(r=\frac{d}{2}\), so \(r=\frac{6}{2}=3\) inches.

Step2: Use the lateral - surface area formula for a cone

The lateral - surface area formula of a cone is \(A=\pi rl\), where \(r\) is the radius and \(l\) is the slant height.
Given \(\pi = 3.14\), \(r = 3\) inches and \(l = 4\) inches.
Substitute the values into the formula: \(A=3.14\times3\times4\).
First, calculate \(3\times4 = 12\). Then \(A=3.14\times12\).
\(A = 37.68\) square inches.

Answer:

\(37.68\)