SOLUTION: Archimedes discovered that if an object, that is more dense than water, is submerged in water then an amount of water equal to the volume of the object is displaced by that object.

Question 404299: Archimedes discovered that if an object, that is more dense than water, is submerged in water then an amount of water equal to the volume of the object is displaced by that object. A rectangler tank 4 feet is filled to a depth of 3 feet with water. A sphere with a diameter of 3 feet is immersed in the tank. How much does the water rise in the tank?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Archimedes discovered that if an object, that is more dense than water, is
submerged in water then an amount of water equal to the volume of the object
is displaced by that object.
A rectangular tank 4 feet is filled to a depth of 3 feet with water.
A sphere with a diameter of 3 feet is immersed in the tank.
How much does the water rise in the tank?
:
Let x = amt (in feet) the water rises
:
Regarding the tank: assume the width is 3.5 ft to accommodate the sphere:
The tank is 4 by 3.5
:
Find the vol of the sphere (r = 1.5 ft)
V =
V =
V = 14.137 cu/ft
:
Find the amt of rise in the water
4 * 3.5 * x = 14.137
14x = 14.137
x =
x = 1.01 ft

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