anonymous
  • anonymous
NEED HElP!!! :)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Jack1
  • Jack1
shoot
anonymous
  • anonymous
A cylinder with radius r and height 2r+4 contains a cube with edge length r√2. What fraction of the cylinder’s volume is taken up by the cube? Write answer in simplified form.
Jack1
  • Jack1
so Volume of cube = S^3, yeah? in this case = (r x sqrt 2)^3

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nathan917
  • nathan917
sqrt(2) r / Pi (r+2).
anonymous
  • anonymous
right ok, but I am not sure what to do with it
Jack1
  • Jack1
so volume of the cube = \[2 \sqrt{2} r ^{3}\]
anonymous
  • anonymous
right got that
Jack1
  • Jack1
Volume of cylinder = pi r^2 x ht = (pi r^2) x (2r + 4)
nathan917
  • nathan917
V_cylinder = (Pi r^2) (2r+4) V_cube = (sqrt(2) r)^3 {I assume that's what you meant.} Fraction = V_cyl / V_cube = (2Pi r^3 + 4Pi r^2) / (2sqrt(2) r^3) = (2Pi r + 4Pi) / 2sqrt(2) r = Pi (r+2) / sqrt(2) r = Pi sqrt(2) (r+2) / 2r Ed: Oops - I inverted this... the correct answer is sqrt(2) r / Pi (r+2)
nathan917
  • nathan917
Ive answered this question b4.
Jack1
  • Jack1
^^^^^^ what he said ;)
nathan917
  • nathan917
:P.
anonymous
  • anonymous
Thanks guys
anonymous
  • anonymous
Nathan , you know I found that answer on the internet before right?

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