Question

find the surface area of the cone below. leave your answer in terms of π. surface area of a cone sa = πrl + πr². 17 cm = ℓ, 6 cm (radius r). sa = ?π cm².

Explanation:

Step1: Identify values of r and l

Given \( r = 6 \, \text{cm} \), \( l = 17 \, \text{cm} \).

Step2: Substitute into surface area formula

The formula for the surface area of a cone is \( SA=\pi rl+\pi r^{2} \). Substitute \( r = 6 \) and \( l = 17 \):
\[

$$\begin{align*} SA&=\pi\times6\times17+\pi\times6^{2}\\ &= 102\pi+ 36\pi\\ &=138\pi \end{align*}$$

\]

Answer:

\( 138 \)