Answer: [tex]326.72yd^{2}[/tex]
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:
[tex]A_c=2r^{2}\pi=2(4yd)^{2}\pi=100.53yd^{2}[/tex]
Where r is the radius.
- Calculate the surface area of the rectangle:
[tex]SAr=l*w[/tex]
Where l is the lenght and w is the width.
[tex]w=9yd\\l=2r\pi[/tex]
(The length is the circumference of the circle)
Then:
[tex]SAr=(2(4yd)\pi)(9yd)=226.19yd^{2}[/tex]
- Add the areas obtained.
The result is:
[tex]SA=100.53yd^{2}+226.19yd^{2}=326.72yd^{2}[/tex]
