Slickster256
  • Slickster256
A sphere and a cylinder have the same radius and height. The volume of the cylinder is mc013-1.jpg. What is the volume of the sphere?
Algebra
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SOLVED
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katieb
  • katieb
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DanJS
  • DanJS
k
DanJS
  • DanJS
What is the volume of the cylinder?, it messed up
Slickster256
  • Slickster256
50ft sorry it messed up

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DanJS
  • DanJS
50 ft^3 ?
Slickster256
  • Slickster256
yea
DanJS
  • DanJS
ok...
DanJS
  • DanJS
Volume of a Sphere = (4/3) * pi * r^3 and Volume Cyl = pi * r^2 * h
DanJS
  • DanJS
you recognize those?
Slickster256
  • Slickster256
yes those are formulas for volume
DanJS
  • DanJS
They both have the same radius, r the thing to recognize is it says they are both the same height, so...
DanJS
  • DanJS
the height of the cylinder is the diameter of the sphere, or , 2*r
DanJS
  • DanJS
you see that?
Slickster256
  • Slickster256
yes but r^2 and r^3 doeesnt simplify does it?
DanJS
  • DanJS
sub in h=2r for the cylinder
Slickster256
  • Slickster256
oh....
DanJS
  • DanJS
Sphere Vol = (4/3) * pi * r^3 Cylinder Vol = 50 = pi * r^2 * 2r
DanJS
  • DanJS
Now you have 2 equations with 2 unknown values, r and sphere volume. you can solve for those
Slickster256
  • Slickster256
thank you very much
DanJS
  • DanJS
2pi *r^3 = 50 , solve r, use that in sphere volume..
DanJS
  • DanJS
welcome
DanJS
  • DanJS
i got the volume sphere as 100/3 ft^3, for ya to check..

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