Find the height of frustum of a cone

11.6k Views Asked by At

Sorry for my bad drawing
The diagram shows a piece of wood which is obtained by cutting off the lower section of a cone.
Using PI = 3.142, calculate the value of x.

I seriously have no idea on how to find $x$.

Any helps are appreciated.

1

There are 1 best solutions below

6
On BEST ANSWER

Hint:

$\frac{7}{10} = \frac{10}{10+x}$

$10+x = \frac{100}{7}$

If you name the bottom apex as "O", center at radius 7 "A", Edge at radius 7 "B" and center at radius 10 "C", Edge at radius 10 "D" Then OAB is similar to OCD by angles (AAA).