A fish tank, in the shape of a rectangular prism with dimensions 70 centimeters by 44 centimeters by 38 centimeters, is 95% filled with water. A solid log is placed into the tank, sinks to the bottom, and makes water spill out. The log is shaped like a cylinder with a radius of 6 cm and a height of 57 centimeters.
How much water spills out of the tank?
Enter your answer in the box. Use 3.14 for pi.
= Blank cm³
70*44*38=117,040
117,040*0.95=111,188
6^2=36
36*3.14=113.04
113.04*57=6,443.28
111,188-6,443.28=104,744.72cm^2
Hope that helped!
Update:
The answer is 591.28
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A fish tank, in the shape of a rectangular prism with dimensions 70 centimeters by 44 centimeters by 38 centimeters, is 95% filled with water. A solid log is placed into the tank, sinks to the bottom, and makes water spill out. The log is shaped like a cylinder with a radius of 6 cm and a height of 57 centimeters.
Volume of log = \(\pi r^2h = 3.14*36*57=6443.28cm^3\)
Volume of fish tank = \(70*44*38 = 117 \;040 \; cm^3\)
Volume of tank not already filled with water = 5% * 111 040 = 5852cm^2
Amount that will flow over = 6443.28-5852 = 591.28 cm^3