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Answer:

14.8 inches

Step-by-step explanation:

Given that:

Slant height, l = 16 inches

Radius, r =. 6 inches

Using the relation :

h² + r² = l²

h² + 6² = 16²

h² = 16² - 6²

h² = 256 - 36

h² = 220

h = sqrt(220)

h = 14.832

h = 14.8 inches