Answers

1. Answer:

   The answer to your question is 9 cm

   Step-by-step explanation:

   Data

   slant height = 15 cm

   height = 12 cm

   radius = ?

   Process

   To solve this problem, use the Pythagorean theorem. The slant height is the hypotenuse, the height is the long leg and the radius is the short leg.

               c² = a² + b²

             slant height² = height² + radius²

   -Solve for radius

             radius² = slant height² – height²

   -Substitution

             radius² = 15² – 12²

   -Simplification

              radius² = 225 – 144

              radius² = 81

   -Result

              radius = 9 cm

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