SOLUTION: The radii of the base of two cylindrical tins, P and Q are r and 2r, respectively. If the water level in P is 10cm high, what would be the height of the same quantity of water in Q

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Question 890452: The radii of the base of two cylindrical tins, P and Q are r and 2r, respectively. If the water level in P is 10cm high, what would be the height of the same quantity of water in Q?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For a cylinder, the volume is,
V=pi%2AR%5E2%2AL
So,
V%5Bp%5D=pi%2Ar%5E2%2A10
and
V%5Bq%5D=pi%2A%282r%29%5E2%2Ah
Since the volumes are the same,
10%2Api%2Ar%5E2=4h%2Api%2Ar%5E2
2h=5
highlight%28h=5%2F2%29cm