Question

A cone shaped hat is shown:

A cone is shown with slant height 14 cm and radius 6.2 cm. The unknown height is labeled with a question mark, and the line joining the tip of the cone to the base is perpendicular to the base.

What is the approximate height of the hat?

2.79 centimeters, because height = Square root of the difference of 14 and 6.2
4.49 centimeters, because height = Square root of the sum of 14 and 6.2
12.55 centimeters, because height = Square root of the difference of squares of 14 and 6.2
15.31 centimeters, because height = Square root of the sum of the squares of 14 and 6.2

Answer 1

The Answer is C. 12.55 centimeters, because height = Square root of the difference of squares of 14 and 6.2

Hope This Helps!

Answer 2

if you cut the cone in half, you will see tat the slant height and te radius form the hypotonuse and one leg of a right triangle respectively

remember from the pythatorean theorem that

`a^2+b^2=c^2`

in this case

`r^2+h^2=(slantheight)^2`

so

`h=√((slantheight)^2-(r)^2)`

subsituting

`h=√(14^2-6.2^2)`

h=12.5523cm

answer is 3rd option