Question

find the surface area of a cylinder with a radius of 4 cm and a height of 2 cm. use the approximation of 3.14 for pi. (1 point) square centimeters

Explanation:

Step1: Calculate the area of the two circular bases

The formula for the area of a circle is \(A = \pi r^{2}\). For two bases, \(A_{bases}=2\pi r^{2}\). Substitute \(r = 4\) and \(\pi=3.14\):
\(A_{bases}=2\times3.14\times4^{2}=2\times3.14\times16 = 100.48\)

Step2: Calculate the lateral surface area

The formula for the lateral surface area of a cylinder is \(A_{lateral}=2\pi rh\). Substitute \(r = 4\), \(h = 2\) and \(\pi = 3.14\):
\(A_{lateral}=2\times3.14\times4\times2=50.24\)

Step3: Calculate the total surface area

The total surface area \(A=A_{bases}+A_{lateral}\)
\(A = 100.48+50.24=150.72\)

Answer:

\(150.72\)