Question

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

Answer 1

To solve this question, we will apply the formula

`\begin{gathered} (V_A)/(V_B)=((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}`

Applying we have

`\begin{gathered} (V_A)/(V_B)=((15)/(3))^3 \\ =((5)/(1))^3 \\ =(125)/(1) \\ =125:1 \end{gathered}`

Hence the answer is 125 : 1, the first option