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?

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(69443) (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?
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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.
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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.

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