Question

the two cones below are similar. what is the value of x? a. 0.09 b. 0.3 c. 0.9 d. 0.18

Explanation:

Step1: Set up similarity proportion

$\frac{\text{Height of large cone}}{\text{Height of small cone}} = \frac{\text{Radius of large cone}}{\text{Radius of small cone}}$
$\frac{10}{3} = \frac{3}{x}$

Step2: Cross-multiply to solve for x

$10x = 3 \times 3$
$10x = 9$

Step3: Isolate x

$x = \frac{9}{10}$
$x = 0.9$

Answer:

C. 0.9