Question

What is the similarity ratio of the smaller to the larger similar cones? Enter your answer as a:b

Answer 1

the ratio will be 9:25

Answer 2

To find similarity ratio a:b

We take the sides and make a proportion

$\frac{height \ of \ smaller \ cone}{height \ of \ larger \ cone} = \frac{radius \ of \ smaller \ cone}{radius \ of \ larger \ cone}$

$\frac{9}{15} = \frac{6}{10}$

$\frac{3}{5} = \frac{3}{5}$

So the ratio a:b is 3:5