[tex]l \: = \sqrt{h ^{2} \: + \: r^2 } [/tex]
[tex]h = \sqrt{l^{2} - {r}^{2} } [/tex]
Given
l (slant height) = 16 inches
r (radius) = 6 inches
[tex]h = \sqrt{ {16}^{2} - {6}^{2} } [/tex]
[tex]h = \sqrt{256 - 36} [/tex]
[tex]h = \sqrt{220} [/tex]
h = 14.832 inches
