Respuesta :

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.