Comparing the zone with the lune method for a sphere, the zone method treats each piece as
Answer: A
Horizontal slices are shallow enough for a conical frustum to approximate them, and frusta develop exactly. The lune method instead cuts vertical segments between meridian planes and treats each as a cylindrical strip.
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Just one of these quantities is unchanged when a cylinder is cut obliquely. Which?
Answer: B
Correct answer: the length of the stretch-out line
The oblique cut removes material from the top and leaves the base untouched, so the base circumference - and therefore the stretch-out line - is unchanged. The area falls, the upper boundary becomes a curve instead of a straight line, and the longest generator is whatever the cut leaves.
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