SOLUTION: 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 c

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Question 736073: 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.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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%2Ar%5E2%2A4.95 = 17672.2
r%5E2 = 17672.2%2F%284.95pi%29
r%5E2 = 1136.4
r = sqrt%281136.4%29
r = 33.7 cm is the radius of the cylindrical tank