For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
12/12/2013

PROBLEM #1

The gas tank of a truck is cylindrical in shape with a radius of r inches and a lengh of l inches, and tank lays on its side. With a measuring stick you note how many inches of gas are in the tank. Given this depth of gas, how many cubic inches of gas are in the tank?

PROBLEM #2

Four dogs occupy the four corners of a square with side of length a. At the same time each dog starts walking at the same speed directly toward the dog on his left. Eventually all four dogs will converge at the center of the square. What is the distance each dog walks until he reaches the center?

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