Question 331235
two cylindrical jars, A and B, have diameters 2X cm and 5X cm respectively,
 initially, B is empty and A contains water to depth of 20 cm.
If all the water in A is poured into B, find the height of the water in jar B.
:
Change the diameters to radii, x and 2.5x
:
Let h = depth of water in B
;
The volume remains the same, write a volume equation
B vol = A vol
{{{pi*(2.5x)^2*h}}} = {{{pi*x^2*20}}}
{{{pi*6.25x^2*h}}} = {{{pi*x^2*20}}}
divide both sides by {{{pi*x^2}}}, results:
6.25h = 20
h = {{{20/6.25}}}
h = 3.2 cm is the depth in B