If the cylinder is cut in half along the side it is still a cylinder. If the cylinder is cut in half along one of the circular faces it is a horizontal cylindrical segment, which would look like a pig trough not hollowed out.
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A sphere that's cut in half o.o
It is the distance measured round its edge. multiply the radius (half the distance across it) by 3.14159
Half a century or five decades
a "Split-level."
Half of 15 feet is 7.5 feet. Simple math, darling. Don't overthink it. Just chop that number in half and call it a day.