Question

find the surface area of the cone. sa = ?π ft² leave your answer in terms of π sa = πrℓ + πr²

Explanation:

Step1: Substitute the values into the formula

The formula for the surface area of a cone is \(SA=\pi rl+\pi r^{2}\), where \(r = 6\) ft (radius) and \(l = 8\) ft (slant height).
Substitute \(r = 6\) and \(l = 8\) into the formula:
\(SA=\pi\times6\times8+\pi\times6^{2}\)

Step2: Calculate each term

First term: \(\pi\times6\times8 = 48\pi\)
Second term: \(\pi\times6^{2}=\pi\times36 = 36\pi\)

Step3: Add the two terms

\(SA=48\pi+36\pi=(48 + 36)\pi\)
\(SA = 84\pi\)

Answer:

\(84\pi\)