- #1
ber8
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Guys please help me with this:
1) Show that the slice z=c of the sphere x² + y² + z² =1 has the same area as the slice z=c of the cylinder x² + y² =1 outside the cone x² + y² = z².
2) Deduce from the previous problem, and the known volume of the cone, that the volume of the sphere is 2/3 the volume of the circumscribing cylinder
Thanks in advance
1) Show that the slice z=c of the sphere x² + y² + z² =1 has the same area as the slice z=c of the cylinder x² + y² =1 outside the cone x² + y² = z².
2) Deduce from the previous problem, and the known volume of the cone, that the volume of the sphere is 2/3 the volume of the circumscribing cylinder
Thanks in advance