Question

The cones below are similar, although not drawn to scale.

What is the length of the radius of the larger cone? (1 point)
4 ft
6 ft
9 ft
12 ft

Answer 1

9 ft

Explanation:

We will set up a proportion to solve this.

The ratio of the slant heights is 18/27.

The ratio of the radii is 6/x.

This gives us the proportion

18/27 = 6/x

Cross multiplying,

18(x) = 27(6)

18x = 162

Divide both sides by 18:

18x/18 = 162/18

x = 9

Answer 2

9 ft
Set up a ratio...6/18=x/27...reduce to 1/3=x/27...cross multiply and solve for x.
3x=27 so x=9