hello
to find the height of the cone, we can simply use pythagorean theorem here since we know two sides of the triangle formed
using pythagorean theorem,
[tex]\begin{gathered} x^2=y^2+z^2 \\ 15^2=y^2+6^2 \\ 225=y^2+36 \\ \text{collect like terms } \\ y^2=225-36 \\ y^2=189 \\ \text{take square roots of both sides} \\ y=\sqrt[]{189} \\ y=13.747\approx13.75 \end{gathered}[/tex]
from the calculations above, the height of the cone is 13.75cm
