Question

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

Answer 1

The area of cylinder is 28π mm.

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.

Answer 2

Answer: 28π mm²

Explanation:

You must apply the formula for calculate the surface area of a cyliner, which is shown below:

`SA=2r^(2)\pi+2rh\pi`

Where r is the radius and h is the height.

The radius is the diameter divided by 2:

`r=4mm/2=2mm`

Substitute values. Then the result is:

`SA=2(2mm)^(2)\pi+2(2mm)(5mm)\pi`

`SA=8\pi+20\pi=28\pimm^(2)`