Could someone please help me with this math problem?

Question

A fish tank, in the shape of a rectangular prism with dimensions 40 in. by 17 in. by 26 in., 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 3 in. and a height of 33 in. How much water spills out of the tank?

 

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Thank you to anyone who helps!

Answer 1

A 40" * 17" * 26" tank has a capacity (a volume) of 17680 in³.

 

The cylinder has a volume of πr²h, which is (3.14)(3)³(33) = 932.58 in³.

 

The initial amount of water in the tank is 95%*17680 in³ = 16796 in³.

 

So, the log (at the bottom) plus all the water is 932.58 + 16796 in³ =  17728.58 in³.

 

However, the tank only holds 17680 in³, so 17728.58 in³ - 17680 in³ = 48.58 in³ spills out.

 

[note that the log does not absorb water, so they stay separate.]