SOLUTION: Starbucks wants to increase the radius of there can from 2.5cm to 3.5cm the current height is 19.1cm, the volume must remain 375 CM, what is the new height of the can? can you ple

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Question 893336: Starbucks wants to increase the radius of there can from 2.5cm to 3.5cm the current height is 19.1cm, the volume must remain 375 CM, what is the new height of the can?
can you please show all working my teacher also said that there is a formula to answer it
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
You can find the formula for the volume of a cylinder, likely the shape of the can, in your instruction book
or in another good source.

Let h = height of (new) can
r = radius of can

v=h%2Api%2Ar%5E2=375

Old Can: v=19.1%2Api%2A%282.5%29%5E2=375, good.

New Can: h%2Api%2A%283.5%29%5E2=375
h=375%2F%283.5%5E2%2Api%29
h=9.744
highlight%289.7%2Acm%29, for the same accuracy as the other values.