The geocity planning office is exploring the use of cones for water towers, and has built a model in their office. The model is a hollow, open (no top) right circular cone. An intelligent mathematical bug is sitting at the point a (at top), and a drop of honey is accidentally dropped at point b (on the opposite side of the cone, at the top). The bug crawls to the honey on the surface of the cone by the shortest path. If r=270 cm (slant height) and r=90 cm (radius), then what is the distance (in cm) crawled bye the bug before reaching the honey?
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540 cm
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