Answer:
Step-by-step explanation:
If you break apart a cylinder, you find two circles and one rectangular sheet thus getting the equation for the surface area
SA = [tex]2\pi r^{2} + 2\pi rh[/tex] = 155.83
We also know the height is 3 times the radius, so lets set h =3r, and we get
SA = [tex]2\pi r^{2} + 6\pi r^{2}[/tex][tex]=8\pi r^{2}[/tex]
And since SA = 155.83, we get that r = 2.490 and since h =3r, then h = 7.470
So the height is 7.470 and the radius is 2.490
Hope that helps!
