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Mathematics 7 Online
OpenStudy (josedavid):

Sergio has two similar cylindrical pots, Pot A and Pot B. The radius of Pot A is 18 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?

OpenStudy (josedavid):

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OpenStudy (jdoe0001):

the radius of A is 5 the radius of B is 18 so the ratio of "a side of the cylinders" is5/18 thus, the ratio of the volumes, keeping in mind volume means 3units, or cubic units, the ratio of the volumes is then \(\bf \textit{ratio of radii}=\cfrac{5}{18}\quad \textit{thus ratio of volumes}\implies \left( \cfrac{5}{18}\right)^3\implies \cfrac{5^3}{18^3}\)

OpenStudy (josedavid):

so what is the answer

OpenStudy (jdoe0001):

dunno, you tell me

OpenStudy (josedavid):

imm 15

OpenStudy (jdoe0001):

well, tis above... should be clear I'd think :/

OpenStudy (jdoe0001):

volume means cubic units, so you raise the ratio of the "sides" by 3 to get the volume same way that, if you needed the ratio of the areas, square units, you'd just raise them by 2

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