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
