Discussion
A sphere of 80 mm diameter is cut by a plane 30 mm from its centre. The section circle has a radius of
Answer: C
Correct answer: 26.5 mm
By Pythagoras on the radius and the distance from the centre: \[ r = \sqrt{40^2 - 30^2} = \sqrt{700} = 26.5\ \mathrm{mm}. \] The section of a sphere is always a circle, and its radius falls to zero as the plane reaches the surface at 40 mm from the centre.
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