Answer:
[tex]h=8.48\ \text{inches}[/tex]
Step-by-step explanation:
Given that,
Radius of cone, r = 7 inches
Slant height of the cone, l = 11 inches
We need to find the height of the cone. Let the height be h. Using trigonometry to find it as follows :
[tex]h^2+r^2=l^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{11^2-7^2}\\\\h=8.48\ \text{inches}[/tex]
So, the height of the cone is equal to [tex]8.48\ \text{inches}[/tex].
