Problem:
Logan is constructing a scaled model of his town. The city's water tower stands meters high, and the top portion is a sphere that holds liters of water. Logan's miniature water tower holds liters. How tall, in meters, should Logan make his tower?
Answer Choices:
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B.
C.
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E.
Solution:
The volume scale for Logan's model is . Therefore the linear scale is , which is . Logan's water tower should stand meters tall.
The problems on this page are the property of the MAA's American Mathematics Competitions