PROBLEM SOLVING
A fish tank, in the shape of a rectangular prism with dimensions 40 inches by 17 inches by 26 inches, 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 inches and a height of 33 inches.
So, how much water spilled out of the tank?
Solution!
▶ 40' × 17'× 26' tank has a capacity (a volume) of 17680 in³
▶The cylinder has a volume of Πr2h, which is (3.14).. (3)²(33) = 932.58 in²
▶ Initial amount of water in the tank is,
95% × 17680 in³ = 16796 in³
▶ 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.
Therefore the answer is 48.58 in³ spill out
