To keep cylindrical flower vases from spilling, a designer is planning to enlarge the original area of the base by 25%. the new vase should have the same volume as the original. how should the designer change the height of the vase?

To keep the same volume, the designer needs to decrease the height of the vase by 20%

Step-by-step explanation:

Volume of cylinder formula is  

Area of base is  , if this area is increased by 25%, the new area of base would be:

Since volume would be same, we can make the height as:

Thus, we can see that the height needs to be divided by 1.25, which we can write in fractional form as:

Thus, height needs to be of original (or 80% of original)

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step-by-step explanation: