Question

find the surface area of the cone below. leave your answer in terms of \\( \pi \\). surface area of a cone \\( s a = \pi r l + \pi r ^ { 2 } \\)

Explanation:

Step1: Substitute the values into the formula

Given \(r = 2\) cm and \(l=7\) cm, substitute into \(SA=\pi rl+\pi r^{2}\).

$$SA=\pi\times2\times7+\pi\times2^{2}$$

Step2: Calculate each term

First term: \(\pi\times2\times7 = 14\pi\). Second term: \(\pi\times2^{2}=\pi\times4 = 4\pi\).

Step3: Add the terms together

$$SA=14\pi + 4\pi=(14 + 4)\pi$$

Answer:

\(18\pi\)