A cylindrical drill with radius 5 makes hole through the center of a sphere of radius 6. Find...contd!!?
A cylindrical drill with radius 5 is used to bore a hole throught the center of a sphere of radius 6. Find the volume of the ring shaped solid that remains.
- ToddioLv 61 decade agoFavorite Answer
Do it as a rotation and use symmetry to calculate the hemisphere.
Use the equation:
x^2 + y^2 = 6^2 for the hemisphere for y > 0
x=5 for the cylinder.
Rotate them about the y-axis
Integrate the difference between the volume of the first and the second from y = 0 to y = sqrt(36/25)
Lots of algebra, but that should yield you your result.
BTW can do the same about the x axis.