Find the surface area of the cylinder. Give your answer in terms of pie.

Answer: 28π mm²
Step-by-step explanation:
You must apply the formula for calculate the surface area of a cyliner, which is shown below:
[tex]SA=2r^{2}\pi+2rh\pi[/tex]
Where r is the radius and h is the height.
The radius is the diameter divided by 2:
[tex]r=4mm/2=2mm[/tex]
Substitute values. Then the result is:
[tex]SA=2(2mm)^{2}\pi+2(2mm)(5mm)\pi[/tex]
[tex]SA=8\pi+20\pi=28\pimm^{2}[/tex]
Answer:
The area of cylinder is 28π mm.
Step-by-step explanation:
We have given the diameter and height of cylinder.
d = 4 mm and h = 5 mm
We have to find the surface area of the cylinder.
The formula to find the surface area of cylinder :
A = 2πrh + 2πr² where r is radius and h is height.
r = d / 2
r = 4 /2 mm
r = 2 mm
Putting given values in above formula, we have
A = 2π(2)(5) + 2π(2)²
A = 20π + 8π
A = 28π mm
Hence, the area of cylinder is 28π mm.