Question

question 4 (multiple choice worth 1 points) (08 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: Recall volume formula for cylinder

$V = \pi r^{2}h$. Since the pipes are similar, assume height $h$ is the same for both.

Step2: Find ratio of volumes

$\frac{V_A}{V_B}=\frac{\pi r_A^{2}h}{\pi r_B^{2}h}=\frac{r_A^{2}}{r_B^{2}}$. Given $r_A = 6$ cm and $r_B=2$ cm, then $\frac{r_A^{2}}{r_B^{2}}=\frac{6^{2}}{2^{2}}=\frac{36}{4} = 9:1$.

Answer:

9:1