Answer:
100.48
Step-by-step explanation:
Surface area of a cylinder = [tex]2\pi r^2+2\pi rh[/tex]
Where r = radius and h = height
We are given the diameter ( 4 cm ) and the height ( 6cm )
To convert diameter to radius we simply divide by 2 ( because radius = half the length of the diameter )
4 / 2 = 2 Thus, r = 2
Now we plug in the values of the radius and height into the surface area of a cylinder formula ( note we must use 3.14 for π as the question says to. not doing so can result in a wrong answer )
[tex]SA=2(3.14)(2^2)+2(3.14)(2)(6)\\2^2=4\\4*3.14=12.56\\12.56*2=25.12\\\\2*3.14=6.28\\6.28*2=12.56\\12.56*6=75.36\\\\75.36+25.12=100.48\\SA=100.48cm^2[/tex]
