SOLUTION: The volume of two similar kettles are 2160 cm^3 and 640 cm^3.what is the ratio of their bases?.if the smalles kettle has a height of 16 cm, what is the height of the larger kettle?

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Question 329678: The volume of two similar kettles are 2160 cm^3 and 640 cm^3.what is the ratio of their bases?.if the smalles kettle has a height of 16 cm, what is the height of the larger kettle?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The volume of two similar kettles are 2160 cm^3 and 640 cm^3
.what is the ratio of their bases?.
if the smallest kettle has a height of 16 cm, what is the height of the larger kettle?
:
Ratio of the dimensions from the volumes: 3sqrt%282169%29%2F3sqrt%28640%29 = 1.5
:
"if the smallest kettle has a height of 16 cm, what is the height of the larger kettle"
1.5 * 16 = 24 cm
:
:
"what is the ratio of their bases?"
I assume they want the area of the bases
:
640/16 = 40 sq/cm, the small kettle base
and
2160/24 = 90 sq/cm, the large kettle base
:
Ratio small to large: 4:9