The height and base radius of a cone are increased by a factor of 2 to create a similar cone. How is the slant height of the cone affected?

The slant height of a cone is determined by its height and base radius: l = √(h² + r²). Doubling both h and r gives √((2h)² + (2r)²) = 2√(h² + r²), so the slant height also doubles. Therefore, the slant height of the larger cone is double that of the smaller cone.

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