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. how much water spills out of the tank? enter your answer in the box. use 3.14 for pi.

Question

Mathematics

Elizabeth Montes

13 September, 02:24

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. how much water spills out of the tank? enter your answer in the box. use 3.14 for pi.

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Answers (2)

Know the Answer?

Bailey Duarte · Answer 1

Bailey Duarte 13 September, 02:44

0

Answer: The answer is 48.58

Marley Cisneros · Answer 2

Answer: 15863.42 inches³

Step-by-step explanation:

The formula for determining the volume of a rectangular prism is expressed as

Volume = length * width * height

The sum of the prism are 40 inches by 17 inches by 26 inches. Therefore, the volume of the fish tank is

Volume = 40 * 26 * 17 = 17680inches³

The tank is 95% filled with water. This means that the volume of the tank filled with water is

95/100 * 17680 = 0.95 * 17680 = 16796 inches³

The formula for determining the volume of a cylinder is expressed as

Volume = πr² h

The cylindrical log has a radius of 3 inches and a height of 33 inches.

Volume = 3.14 * 3² * 33 = 932.58 inches³

The amount of water that spills out of the tank would be

16796 - 932.58 = 15863.42 inches³