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QUESTION IMAGE

find the surface area of this cylinder. use 3.14 for π. surface area of…

Question

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

Explanation:

Step1: Calculate the lateral area (LA)

The formula for lateral area is \(LA = 2\pi rh\). Given \(r = 4\) m and \(h = 6\) m, 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 \(r = 4\) m and \(\pi = 3.14\).

$$ LATEXBLOCK1 $$

Step3: Calculate the surface area (SA)

The formula \(SA=LA + 2B\). Substitute \(LA = 150.72\) and \(B = 50.24\).

$$ LATEXBLOCK2 $$

Answer:

\(251.2\)