The cone shown below has a slant height of 15 centimeters and a height of 12 centimeters. What is the radius of the cone.

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