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
