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2010 AMC 10A Question 12

AMC10 · 2010 AMC 10A

Question 12

Logan is constructing a scaled model of his town. The city’s water tower stands $40$ meters high, and the top portion is a sphere that holds $100{,}000$ liters of water. Logan’s miniature water tower holds $0.1$ liters. How tall, in meters, should Logan make his tower?
  1. $0.04$
  2. $\dfrac{0.4}{\pi}$
  3. $0.4$
  4. $\dfrac{4}{\pi}$
  5. $4$