Question

find the surface area of the cone.
sa = ?π m²
leave your answer in terms of π.
sa = πrl + πr²

Explanation:

Step1: Identify the formula for the surface area of a cone

The formula for the surface area of a cone is \(SA=\pi rl+\pi r^{2}\), where \(r\) is the radius of the base and \(l\) is the slant height.

Step2: Substitute the given values into the formula

Given \(r = 5\) m and \(l=12\) m.
First, calculate \(\pi rl\): \(\pi\times5\times12 = 60\pi\).
Then, calculate \(\pi r^{2}\): \(\pi\times5^{2}=\pi\times25 = 25\pi\).

Step3: Add the two parts together

\(SA=60\pi+25\pi=(60 + 25)\pi\).

Answer:

\(85\pi\)