SOLUTION: A cylinderical can is designed to hold a volume of 1000 cm3. If the radius is increased by 25%, what is the corresponding decrease in height so the volume is still 1000 cm3?

Question 470631: A cylinderical can is designed to hold a volume of 1000 cm3.
If the radius is increased by 25%, what is the corresponding decrease in height so the volume is still 1000 cm3?
Could you please show all the steps?
Found 2 solutions by Gogonati, poliphob3.14:
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
The volume of the cylindrical cane is given by the formula:.
Since the volume does not change we can write:
<=>%.
Answer:If the radius is increased by 25% the height is decreased by 6.25%.
Answer by poliphob3.14(115) (Show Source): You can put this solution on YOUR website!
When r is increased by 25% it becomes and the volume of the can
changed to .
When h is decreased by x% it becomes . Since the volume of the
can does not change we write the equation:
solving this equation we get:
<=><=>
Answer:The height is decreased by 36%.
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