Answer:
Step-by-step explanation:
break the shape into all of the parts.....
two circles and a ribbon between the two circles
surface area of cylinder is just the area of two circles plus a square ribbon that is as long as the perimeter of a circle and times the height of the cylinder
Surface Area Cylinder = (area of circle 1) plus (area of circle 2) plus (the ribbon)
circle 1 is the same area as circle 2 so take 2 times the of one circle
Surface area cylinder = 2( circle) + (perimeter of a circle )(height)
area of circle = π r² perimeter of a circle = 2π r or = π d
since they gave us r use r = 8 also h = 4
Surface area cylinder = 2(π r²) + (2π r) (height)
= 2π r [ r + height ] factoring out a 2π r from each term
= 2π (8) [ 8 + 4 ]
= 2π (8) (12)
= (2)(8)(12) π
= (2)(96) π
= 192 π
Surface area cylinder = 192(3.14) ≈ 602.9 either answer is correct
