Question

Use the net to find the surface area of the cylinder

Answer 1

The surface area of the given cylinder = 326.56 square yards

Explanation:

The formula to find the surface area of a cylinder = 2πr^2 + 2πrh. where "r" is the radius of the circle, h is the height of the cylinder.

Given: r = 4 yd, h = 9 yd. and π = 3.14

Now plug in the given values in the above formula.

Surface area of the cylinder = 2*3.14*4^2 + 2*3.14*4*9

= 2*3.14*4( 4 +9)

= 25.12(13)

The surface area of the given cylinder = 326.56 square yards

Hope this will helpful.

Thank you.

Answer 2

Answer:
`326.72yd^(2)`

Explanation:

To find the surface area of the cylinder you must apply the following proccedure:

- Calculate the surface area of the circles. They are equal, then you can multiply the surface area of a circle by 2:

`A_c=2r^(2)\pi=2(4yd)^(2)\pi=100.53yd^(2)`

Where r is the radius.

- Calculate the surface area of the rectangle:

`SAr=l*w`

Where l is the lenght and w is the width.

`w=9yd\\l=2r\pi`

(The length is the circumference of the circle)

Then:

`SAr=(2(4yd)\pi)(9yd)=226.19yd^(2)`

- Add the areas obtained.

The result is:

`SA=100.53yd^(2)+226.19yd^(2)=326.72yd^(2)`