My wife and I want to share a slice of cheesecake. It is a sector taken from a cylinder. If the cheesecake is 4 cm deep, from the photo shown, where should I make a single straight cut, perpendicular to the radius, to fairly divide it up (by volume)?
Each long side of the slice (i.e. radius) is 14 cm and the arc on the outside edge is 6 cm.
Obviously the easy solution is to cut the slice in mirrored halves from the point to the halfway mark of the outside edge, but where's the fun in that? ;-) I want to cut it parallel to the outside (left in this photo) edge, but so that we end up with the same volume of cheesecake.
The easier solution will approximate the wedge as a triangular prism, but if we really care about making it fair we need to realise the outside edge is part of a circle.
(and does the depth matter in this question?)
Each long side of the slice (i.e. radius) is 14 cm and the arc on the outside edge is 6 cm.
Obviously the easy solution is to cut the slice in mirrored halves from the point to the halfway mark of the outside edge, but where's the fun in that? ;-) I want to cut it parallel to the outside (left in this photo) edge, but so that we end up with the same volume of cheesecake.
The easier solution will approximate the wedge as a triangular prism, but if we really care about making it fair we need to realise the outside edge is part of a circle.
(and does the depth matter in this question?)
1 Answer
Aug 2, 2017
I got
Explanation:
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