Respuesta :

Answer:

24 inches

Step-by-step explanation:

[tex] \because \: {l}^{2} = {h}^{2} + {r}^{2} \\ \therefore \: {h}^{2} = {l}^{2} - {r}^{2} \\ \therefore \: {h} = \sqrt{{l}^{2} - {r}^{2}} \\ \hspace{19pt} = \sqrt{ {25}^{2} - {7}^{2} } \\ \hspace{19pt} = \sqrt{625 - 49} \\\hspace{19pt} = \sqrt{576} \\ \hspace{19pt} = 24 \\ \huge \red{ \boxed{ \therefore \: h = 24 \: inches }}\\[/tex]

Answer:

24

Step-by-step explanation:

there's a right triangle formed inside the cone

İüIn right triangles the square length of hypotenuse is equal to sum of square length of base and side length

25^2 = 7^2 + h^2

h^2 = 576

h = 24

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