Discussion
A cylinder of 60 mm diameter is cut by a plane at 30 degrees to its axis. The major axis of the elliptical section measures about
Answer: C
Correct answer: 120 mm
The plane is at 30 degrees to the axis, so the major axis is the diameter divided by the sine of that angle: \[ \frac{60}{\sin 30^\circ} = \frac{60}{0.5} = 120\ \mathrm{mm}. \] The shallower the cut relative to the axis, the longer the ellipse becomes - and at 90 degrees it reduces to the circle of 60 mm.
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