- #1
blumfeld0
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so i have one problem and i just need to know if my integral is right. any help would be greatly appreciated
1. a ball of radius 10 has a round hole of radius 5 drilled through its center. find the volume of the resulting solid.
i know volume of cylinder removed is pi*5^2*10*sqrt(3)
because h^2/4 + 5^2=10^2 so h = sqrt(300)= 10*sqrt(3)
and i know the volume of original sphere is 4/3*pi*10^3
and now what?
i think i need to do integral of pi*(100-y^2) dy from 10 to 10*sqrt(3) and multiply this whole answer by 2
is that right?
if so what do i do with these three pieces of information? thank you!
1. a ball of radius 10 has a round hole of radius 5 drilled through its center. find the volume of the resulting solid.
i know volume of cylinder removed is pi*5^2*10*sqrt(3)
because h^2/4 + 5^2=10^2 so h = sqrt(300)= 10*sqrt(3)
and i know the volume of original sphere is 4/3*pi*10^3
and now what?
i think i need to do integral of pi*(100-y^2) dy from 10 to 10*sqrt(3) and multiply this whole answer by 2
is that right?
if so what do i do with these three pieces of information? thank you!
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