Respuesta :

Answer:

The correct answer is last option

surface area = 104 yd²

Step-by-step explanation:

Formula:

Surface area of cylinder = 2πr² + 2πrh

Where r is the radius and h is the  height of cylinder

To find the surface area of cylinder

Here r = 4 yd and h = 9yd

Surface area =  2πr² + 2πrh =  2π * 4 * 4 + 2π *4 *9

 = 32π + 72π = 104π yd²

Therefore the total surface area of given cylinder = 104π yd²

The correct answer is last option .

Answer:

[tex]104\pi yds[/tex]

Step-by-step explanation:

The total surface area of the cylinder is

[tex]T.S.A=2\pi r^2 +2\pi rh [/tex]

We substitute [tex]r=4yd,h=9yd[/tex] to obtain;

[tex]T.S.A=2\pi \times 4^2 +2\pi 4\times 9[/tex]

[tex]T.S.A=32\pi +72\pi [/tex]

[tex]T.S.A=104\pi yds[/tex]