Elizabethtienna
Elizabethtienna Elizabethtienna
  • 12-04-2020
  • Mathematics
contestada

 The volume of a cylinder is
324 π in. cubed 3 and the height of the cylinder is 1 in. What is the radius of the​ cylinder?

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ChillMuse
ChillMuse ChillMuse
  • 12-04-2020

The volume of a cylinder is equal to [tex]\frac{1}{3}\pi r^{2} h[/tex], where r is the radius of the cylinder and h is its height.

324 =  [tex]\frac{1}{3}\pi r^{2} h[/tex]

324 = [tex]\frac{1}{3}[/tex] x 3.14 x [tex]r^{2}[/tex] x 1

309.55 = [tex]r^{2}[/tex]

r = [tex]\sqrt{309.55}[/tex]

r = approx. 17.59 inches

I hope this answer helped you! If you have any questions, feel free to ask away.

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