2010 AMC 12A Problems/Problem 7
Problem
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?
Solution
The water tower holds times more water than Logan's miniature. Therefore, Logan should make his tower times shorter than the actual tower. This is meters high, or choice .