# SOLUTION: A water glass is shaped like a cylinder with height 6in. and diameter 2in. How many times as much water can a glass twice as tall and twice as wide hold?

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 Question 307708: A water glass is shaped like a cylinder with height 6in. and diameter 2in. How many times as much water can a glass twice as tall and twice as wide hold? Answer by Alan3354(31537)   (Show Source): You can put this solution on YOUR website!A water glass is shaped like a cylinder with height 6in. and diameter 2in. How many times as much water can a glass twice as tall and twice as wide hold? ----------------------------- The volume of a cylinder is a function of height, and of the radius squared. Doubling the height doubles the volume. 2x the radius --> 4 times the volume. 2x * 4x = 8 times the volume. -------------------------------- There's no need to calculate the volumes, since it's not asked for. The answer is 8x, 8 times the volume. NOT 8 times more, 8 times as much.