a cylindrical hold of diameter 6 feet is bored through a spherical solid of diameter 10 feet so that the axis of the hole coiscides with a diameter of the sphere. Show how to use cylindrical shells to find the volume of the solid that remains. Make a sketch of the solid and show the integral used to compute the volume.

Question

anonymous · Answer

Can you picture what this looks like?

anonymous · Answer

No,that's my main problem.

anonymous · Answer

imagine you drill a hole through a marble.

anonymous · Answer

can you see that?

anonymous · Answer

|dw:1344368750839:dw|

anonymous · Answer

Like that?

anonymous · Answer

wow that's impressive.

anonymous · Answer

one nugget of useful information is that the diameter has been drilled along a diameter of the sphere.  I assume you know what the diameter means?

anonymous · Answer

the cylinder has been drilled, sorry

anonymous · Answer

so if we take a cross-section in the exact middle of the sphere along that diagonal, we would see something like this|dw:1344368940174:dw|