Question

The cones below are similar, although not drawn to scale.
What is the length of the radius of the larger cone?
The height of the smaller cone is 18 and the radius is 6. The height of the larger cone is 27 and the radius is unknown.
A- 4
B- 6
C- 9
D- 12
Please help!

Answer 1

the heights are in the ratio 27:18 = 3:2
so, the radii are in the same ratio. So, what is x if x:6 = 3:2 ?

Answer 2

9

6*3/2 = 9