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Math Help - help using integration to figure out a volume (word problem that is somewhat harder)

  1. #1
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    help using integration to figure out a volume (word problem that is somewhat harder)

    What volume of material is removed from a solid sphere of radius 2r by drilling a gole of radius r through the center?

    it doesnt sound too tricky, and i think i got it started pretty good, but i've hit a road block....
    any help is much appreciated!
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  2. #2
    Super Member malaygoel's Avatar
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    Would you please show your work here.....it will help us to know where you got stuck.
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  3. #3
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    i would if i knew how to transcribe it to make sense...basically by geometric reasoning (which i dont believe im supposed to do-so any alternate way would be helpful)--i plugged 2r into the sphere volume formula i got 32/3 pi r^2 of the sphere...but i tried numerous thing to get the inner cylinder but no such luck
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