Question

Math geometry question 2, Thanks if u help!

Answer 1

24 inches

Explanation:

`\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} = √(625 - 49) \\\hspace{19pt} = √(576) \\ \hspace{19pt} = 24 \\ \huge \red{ \boxed{ \therefore \: h = 24 \: inches }}\\`

Answer 2

24

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