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Mathematics 17 Online
OpenStudy (anonymous):

NEED HElP!!! :)

OpenStudy (jack1):

shoot

OpenStudy (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.

OpenStudy (jack1):

so Volume of cube = S^3, yeah? in this case = (r x sqrt 2)^3

OpenStudy (nathan917):

sqrt(2) r / Pi (r+2).

OpenStudy (anonymous):

right ok, but I am not sure what to do with it

OpenStudy (jack1):

so volume of the cube = \[2 \sqrt{2} r ^{3}\]

OpenStudy (anonymous):

right got that

OpenStudy (jack1):

Volume of cylinder = pi r^2 x ht = (pi r^2) x (2r + 4)

OpenStudy (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)

OpenStudy (nathan917):

Ive answered this question b4.

OpenStudy (jack1):

^^^^^^ what he said ;)

OpenStudy (nathan917):

:P.

OpenStudy (anonymous):

Thanks guys

OpenStudy (anonymous):

Nathan , you know I found that answer on the internet before right?

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