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?

A cone’s slant height is found using the Pythagorean theorem: s = √(h² + r²), where h is height and r is base radius. Doubling both h and r makes the new slant height √((2h)² + (2r)²) = 2√(h² + r²). So the slant height doubles, matching choice C.

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