SOLUTION: Here is a question that has me stumped, please help. A tube 10 inches in height has a volume of 5120³.I you halve the height, how large must you make the radius of the tube in i

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Question 91667This question is from textbook
: Here is a question that has me stumped, please help.
A tube 10 inches in height has a volume of 5120³.I you halve the height, how large must you make the radius of the tube in inches so that it contains the same volume? Use the formula V = Pi r²h. Thanks.
This question is from textbook

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
:
A tube 10 inches in height has a volume of 5120³.I you halve the height, how large must you make the radius of the tube in inches so that it contains the same volume? Use the formula V = Pi r²h.
:
pi%2Ar%5E2%2A5 = 5120
:
r%5E2+=+5120%2F%285pi%29; divide both sides by 5pi
:
r = sqrt%285120%2F%285pi%29%29
:
r = 18.054 in radius required to have the same volume