savannahamriperales
savannahamriperales savannahamriperales
  • 05-01-2017
  • Mathematics
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a cylinder has a radius of 4 centimeters and a height of 40 centimeters

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Apocrophon
Apocrophon Apocrophon
  • 05-01-2017
Volume:
[tex]V = b * h \\ V=( \pi r^{2} )*h\\V=(\pi4^{2})*40\\V=640cm^{3}[/tex]

Surface Area:
SA = base + base + side
SA = [tex]2(\pi r^{2})+([/tex]Circumference[tex]*h[/tex]
SA = [tex]2(\pi r^{2})+(2\pi r)*h[/tex]
[tex]SA=2(\pi(4^{2}))+(2\pi (4))*40\\ SA=32\pi + 8\pi*40\\ SA=32\pi+320\pi \\ SA=352\pi=1005.309cm^{2}[/tex]
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