<PRE><B>Question 736073</B>
A cubic tank is used to determine the volume of certain objects.
 The tank has a height of 68.74 cm.
 The water level of the tank rises 3.74 cm when a particular object is immersed completely.
 If the same object is immersed completely in a cylindrical tank, the water level of that tank rises by 4.95 cm.
 Determine the radius of the cylindrical tank in centimetres.
:
The cubic tank is: 68.74 by 68.74 by 68.74 cm
:
Find the volume of 3.74 cu/in water in the cubic tank,
68.74 * 68.74 * 3.74 = 17672.2 cu/cm,
:
let r = the radius of the cylindrical tank
{{{pi*r^2*4.95}}} = 17672.2
{{{r^2}}} = {{{17672.2/(4.95pi)}}}
{{{r^2}}} = 1136.4
r = {{{sqrt(1136.4)}}}
r = 33.7 cm is the radius of the cylindrical tank
 
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