Question

A fish tank, in the shape of a rectangular prism with dimensions 51 cm by 39 cm by 28 cm, 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 cm and a height of 44 cm. How much water spills out of the tank?

Answer 1

The end answer is 669.4

Explanation:

So you take the volume of the fish tank: 51*39*28=55692, but the tank is only 95% full, so you take 55692 and divide it by 100 and multiply it by 95, you get 52907.4. Then you calculate the volume of the log: 3.14*5^2*44=3454.

Now that we know these values, we take the volume of the water which is 52907.4 and add the volume of the log 3454 which gets you 56361.4.

Now we know the combined volume of the water and the log, we can remove the volume of the tank, which will still be holding the water that hasn't exceeded the capacity of the tank: 56361.4-55692=669.4

So then we know what has exceeded the capacity of the tank, which is how much water has spilled

So the water spilled equals 669.4 cubic centimetres of water.