Sergio has two similar cylindrical pots, pot A and pot B. The radius of pot A is 15 inches, and the radius of pot B is 3 inches. What is the ratio of the volume of pot A to the volume of pot B?Group of answer choices125:145:95:115:3

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SOLUTION

To solve this question, we will apply the formula

[tex]\begin{gathered} \frac{V_A}{V_B}=(\frac{r_A}{r_B})^3 \\ where\text{ V}_A=volume\text{ of pot A, V}_B=volume\text{ of pot B} \\ r_A=radius\text{ of pot A = 15 inches} \\ r_B=radius\text{ of pot B = 3 inches } \end{gathered}[/tex]

Applying we have

[tex]\begin{gathered} \frac{V_A}{V_B}=(\frac{15}{3})^3 \\ =(\frac{5}{1})^3 \\ =\frac{125}{1} \\ =125:1 \end{gathered}[/tex]

Hence the answer is 125 : 1, the first option