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A cylindrical water tank is 1/5 full. If three liters were added, the tank would be 1/4 full. How many liters does the tank hold when it is full?

 Nov 3, 2019
 #1
avatar+19937 
+2

Volume of a cylinder   pi r2 h

 

1/5 full   is the   1/5 pi r^2 h

add 3 liters

 

1/5 pi r^2 h+ 3   =  1/4 pi r^2 h

3 = (1/4 - 1/5 ) pi r^2 h

3 = 1/20 pi r^2 h

60 liters = pi r^2 h = volume when full

 Nov 3, 2019
 #2
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+1

Let F represent a full tank:
1/5F + 3 =1/4F, solve for F
F = 60 Liters when it is full

 Nov 3, 2019

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