Answer:
136.5picm^2
Explanation:
The surface area of the cylinder is expressed as;
[tex]^{}\text{TSA =2}\pi r(r+h)[/tex]r is the radius
h is the height
Given that;
height h = 16cm
diameter = 7cm
radius = 7/2 = 3.5cm
Substitute the given values into the formula;
[tex]\begin{gathered} \text{TSA =2}\pi\text{(3.5)(3.5+16)} \\ \text{TSA}=7\pi(19.5) \\ \text{TSA}=136.5\pi cm^2 \end{gathered}[/tex]Hence the total surface area of the cylinder is 136.5picm^2