find the surface area of this cylinder. use 3.14 for π. surface area of a cylinder la = 2πrh sa = la + 2b sa = ? m² round your answer to the nearest tenth.

Question

Accepted Answer

# Explanation:
## Step1: Calculate the lateral area (LA)
The formula for lateral area is $LA = 2\pi rh$. Given $r = 3$ m, $h=7$ m, and $\pi = 3.14$.
$$
\begin{align*}
LA&=2\times3.14\times3\times7\
&=6.28\times3\times7\
& = 131.88
\end{align*}
$$
## Step2: Calculate the area of the base (B)
The formula for the area of a circle ($B$) is $B=\pi r^{2}$.
$$
\begin{align*}
B&=3.14\times3^{2}\
&=3.14\times9\
&=28.26
\end{align*}
$$
## Step3: Calculate the surface area (SA)
The formula for surface area is $SA = LA+2B$.
$$
\begin{align*}
SA&=131.88 + 2\times28.26\
&=131.88+56.52\
&=188.4
\end{align*}
$$

# Answer:
$188.4$

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QUESTION IMAGE

Question

Explanation:

Step1: Calculate the lateral area (LA)

Step2: Calculate the area of the base (B)

Step3: Calculate the surface area (SA)

Answer: