A fish tank, in the shape of a rectangular prism with dimensions 51 centimeters by 39 centimeters by 28 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 5 centimeters and a height of 44 centimeters.
How much water spills out of the tank?
Use 3.14 for pi.
The volume of the full tank is 51 * 39 * 28 = 55692 cm^3
And 95% of this is 52907.4 cm^3
So.....the difference between these is the amount of water required left to fill the tank = 2784.6 cm^3 (1)
The volume of the log is (3.14) (5)^2 (44) = 3454 cm^3 (2)
So....the volume of water that spills out of the tank is just (2) - (1) =
3454 - 2784.6 =