SOLUTION: The diameter of the cone in this hat is 18cm. Its slant height, s cm, is 21 cm. What is the height of the hat?

Algebra ->  Pythagorean-theorem -> SOLUTION: The diameter of the cone in this hat is 18cm. Its slant height, s cm, is 21 cm. What is the height of the hat?       Log On


   

Question 809043: The diameter of the cone in this hat is 18cm. Its slant height, s cm, is 21 cm. What is the height of the hat?

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Right angled triangle question.
Divide diameter by 2 to obtain
the radius.
18/2 = 9cm.
Base side of triangle = 9cm.
Hypotenuse of triangle =
slant height = 21cm
Vertical side = height
Hypotenuse^2 - Base side^2 = Height^2
21^2 - 9^2 = Height^2
Height^2 = 360
Height = sqrt%28360%29
Height = 18.97cm (Two decimal places)
Hope this helps.
:-)