find the surface area of the cone below. leave your answer in terms of π. surface area of a cone sa = πrℓ + πr² sa = ?π cm²

Question

Accepted Answer

# Explanation:
## Step1: Calculate the slant height $ l $
Use the Pythagorean theorem $ l=\sqrt{r^{2}+h^{2}} $. Here $ r = 12$ cm and $ h=16$ cm.
$$
\begin{align*}
l&=\sqrt{12^{2}+16^{2}}\
&=\sqrt{144 + 256}\
&=\sqrt{400}\
&=20
\end{align*}
$$
## Step2: Calculate the surface area $ SA $
Use the formula $ SA=\pi rl+\pi r^{2}$. Substitute $ r = 12$ and $ l = 20$.
$$
\begin{align*}
SA&=\pi\times12\times20+\pi\times12^{2}\
&=240\pi+144\pi\
&=384\pi
\end{align*}
$$

# Answer:
$384\pi$

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QUESTION IMAGE

Question

Explanation:

Step1: Calculate the slant height \( l \)

Step2: Calculate the surface area \( SA \)

Answer: