Question

Use the net to find the surface area of the cylinder

Answer 1

Answer: $326.72yd^{2}$

Step-by-step 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:

$SA=100.53yd^{2}+226.19yd^{2}=326.72yd^{2}$

Answer 2

Answer:

The surface area of the given cylinder = 326.56 square yards

Step-by-step 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.