SOLUTION: Two similar glasses have heights in the ratio 3:5. If, when using the larger glass, it takes 54 glasses of water to fill a fish tank, how many glasses of water would be needed to f

Algebra ->  Equations -> SOLUTION: Two similar glasses have heights in the ratio 3:5. If, when using the larger glass, it takes 54 glasses of water to fill a fish tank, how many glasses of water would be needed to f      Log On


   

Question 1122269: Two similar glasses have heights in the ratio 3:5. If, when using the larger glass, it takes 54 glasses of water to fill a fish tank, how many glasses of water would be needed to fill it using the smaller glass?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The glasses are like cylinders.

Let radius for smaller glass be 3r.

SMALL:
v=3%2Api%2A%283r%29%5E2
v=27pi%2Ar%5E2

LARGE:
V=5%2Api%2A%285r%29%5E2
V=125pi%2Ar%5E2


54 of the larger glass was needed.
x of the smaller glass to be needed.
-
54%2A125pi%2Ar%5E2=x%2A27pi%2Ar%5E2
Solve for x.