anonymous
  • anonymous
I need help with this attachment ( Solving volume of spheres)
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
I need to find the volume of both spheres as a whole unit
1 Attachment
anonymous
  • anonymous
equations of sphere are \[x ^{2}+y ^{2}+z ^{2}+4x-2y+4z+5=0 ...(1)\] \[x ^{2}+y ^{2}+z ^{2}=4 ....(2)\]
anonymous
  • anonymous
find radius then volume \[=\frac{ 4 }{3 }\pi r ^{3}\]

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anonymous
  • anonymous
why 4/3?pi
anonymous
  • anonymous
you wanted the volume of sphere. I have given the volume of one sphere only.
anonymous
  • anonymous
can you solve it ?
radar
  • radar
In regards to @teague19 question why V=(4/3)(r)(pi). This is the standard formula published in text and reference manuals, I bet if you look hard enough you will find that in your study material, if not, Google "Volume of Sphere"
radar
  • radar
Now referring to the help furnished by @surjithayer he has already solved for the radius of one of the spheres, the one that is located at (0,0,0) getting a radius which was the square root of 4, or 2. Plug the value (2) for r and solve the volume of that sphere.
radar
  • radar
The other sphere is not located at the origin, but at another location for its center. Use completing the square and you will be able to not only know where it's center is located but you will have the radius also. Good luck.

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