<PRE><B>Question 243261</B>
The brick increases the volume of the water by 1500cm^3.


The cylindrical can has an internal radius of 20cm.


It has water to a depth of 20 cm.


The volume of water in the cylinder is equal to pi * r^2 * h where:


h = 20 cm
r = 20 cm


Volume of water in the cylinder is pi * 20^2 * 20 = pi * 400 * 20 * cm^3.


This equals pi * 8000 * cm^3 which equals 25132.74123 * cm^3.


Add 1500 * cm^3 to that and you get a total of 26632.74123 * cm^3


The radius of the cylinder remains the same as 20 * cm.


The formula for the volume of the cylinder is the same (pi * r^2 * h)


Only the height can vary.


The formula becomes:


26632.74123 = pi * 400 * h


Divide both sides of this equation by pi * 400 to get:


26632.74123 * cm^3 / (pi * 400 * cm^2) = h


Solve for h to get:


h = 21.19366207 cm


The original height was 20 cm^3


The water level rose 1.193662073 * cm</PRE>