Question

question 14 (multiple choice worth 1 point) (06.02r mc) kent has two similar cylindrical pipes, pipe a and pipe b. the radius of pipe a is 6 cm, and the radius of pipe b is 2 cm. what is the ratio of the volume of pipe a to the volume of pipe b? 3:1 6:2 27:1 9:3

Explanation:

Step1: Find scale factor of radii

The scale factor of Pipe A to Pipe B is $\frac{\text{Radius of Pipe A}}{\text{Radius of Pipe B}} = \frac{6}{2} = 3$

Step2: Relate scale factor to volume ratio

For similar 3D shapes, the ratio of volumes is the cube of the linear scale factor.
$\text{Volume ratio} = 3^3 = 27$

Answer:

27:1