Question

find the surface area of this cylinder.
use 3.14 for π.
3 cm
5 cm
surface area
of a cylinder
la = 2πrh
sa = la + 2b
sa = ? cm²
round your answer to the nearest tenth.

Explanation:

Step1: Calculate the lateral area (LA)

The formula for lateral area is \(LA = 2\pi rh\). Given \(r = 3\) cm and \(h = 5\) cm, and \(\pi=3.14\).

$$
LATEXBLOCK0
$$

Step2: Calculate the area of the base (B)

The formula for the area of a circle \(B=\pi r^{2}\). Substitute \(r = 3\) cm and \(\pi = 3.14\).

$$
LATEXBLOCK1
$$

Step3: Calculate the surface area (SA)

The formula \(SA=LA + 2B\). Substitute \(LA = 94.2\) and \(B = 28.26\).

$$
LATEXBLOCK2
$$

Rounding \(150.72\) to the nearest tenth gives \(150.7\).

Answer:

\(150.7\)