Respuesta :

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].

Heya!

Answer:

√72

Step-by-step explanation:

Use Pythagorean:

h² + (14/2)² = 11²

h² + 49 = 121

h² = 121 - 49

h² = 72

h = √72 in

Hope this helps <33

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