Answer:
376.8 [tex]units^{2}[/tex]
Step-by-step explanation:
There are a lot of moving parts. We need to find the area of the bottom of the circle the center and the top circle.
The top and the bottom will be the same.
The area of a circle:
a = [tex]\pi[/tex][tex]r^{2}[/tex]
a = 3.14([tex]5^{2}[/tex])
a = 3.14(25)
a =78.5
The center: Think of this as a label on soup can. If you tear the label off it would be a rectangle. To find the area we would multiply the height of the can by the circumference of the circle. They tell us the height is 7 and we can calculate the circumference.
C = [tex]\pi[/tex]d The d is the diameter it is 2 of the radiuses.
C = [tex]\pi[/tex]10
C = 3.14(10)
C = 31.4
Now we multiply 31.4 and 7 together to find the area of the center of the cylinder.
(31.4)(7) = 219.8
The total area:
top 78.5
center 219.8
bottom 78.5
Total 376.8