Answer :

Answer:

h = [tex]\sqrt{84}[/tex] cm

Step-by-step explanation:

The radius, height h and slant height form a right triangle.

radius r = 8 ÷ 2 = 4, hypotenuse = 10

Using Pythagoras' identity in the right triangle

h² + 4² = 10²

h² + 16 = 100 ( subtract 16 from both sides )

h² = 84 ( take the square root of both sides )

h = [tex]\sqrt{84}[/tex] cm

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