Question

find the surface area of this cylinder. use 3.14 for π. r = 5 m h = 3 m surface area of a cylinder la = 2πrh sa = la + 2b la = 94.2 m² sa = ? m² round your answer to the nearest tenth.

Explanation:

Step1: Find the area of the base \(B\)

The formula for the area of a circle \(B=\pi r^{2}\).
Substitute \(r = 5\) and \(\pi=3.14\):
\(B = 3.14\times5^{2}=3.14\times25 = 78.5\) \(m^{2}\)

Step2: Calculate the surface area \(SA\)

We know that \(SA=LA + 2B\).
Given \(LA = 94.2\) \(m^{2}\) and \(B = 78.5\) \(m^{2}\)
\(SA=94.2+2\times78.5\)
\(SA=94.2 + 157\)
\(SA=251.2\) \(m^{2}\)

Answer:

\(251.2\) \(m^{2}\)