find the surface area of this cylinder. use 3.14 for π. surface area of a cylinder la = 2πrh sa = la + 2b sa = ? cm² 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 $r = 5$ cm and $h = 4$ cm, $\pi=3.14$.
$$
\begin{align*}
LA&=2\times3.14\times5\times4\
&=6.28\times5\times4\
&=31.4\times4\
& = 125.6\text{ cm}^2
\end{align*}
$$
## Step2: Calculate the area of the base (B)
The formula for the area of a circle $B=\pi r^{2}$.
$$
\begin{align*}
B&=3.14\times5^{2}\
&=3.14\times25\
&= 78.5\text{ cm}^2
\end{align*}
$$
## Step3: Calculate the surface area (SA)
The formula $SA = LA+2B$.
$$
\begin{align*}
SA&=125.6 + 2\times78.5\
&=125.6+157\
&=282.6\text{ cm}^2
\end{align*}
$$

# Answer:
$282.6$

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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: