Question

find the surface area of the cone. sa = ?π m² 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 \(r = 5\)m and \(l = 13\)m.
Substitute these values: \(SA=\pi\times5\times13+\pi\times5^{2}\)

Step2: Calculate each term

First term: \(\pi\times5\times13 = 65\pi\)
Second term: \(\pi\times5^{2}=\pi\times25 = 25\pi\)

Step3: Add the two terms

\(SA=65\pi + 25\pi=(65 + 25)\pi\)

Answer:

\(90\pi\)