daltman006
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Water flows at 2 feet per second through a pipe with a diameter of 8 inches. A cylindrical tank with a diameter of 15 feet and a height of 6 feet collects the water.

a. What is the exact volume, in cubic inches, of water flowing out of the pipe every second? Leave your answer in terms of π.

ansswer in terms of pi plz. Will award brainliest.

Respuesta :

musiclover10045

Think of the flow of the water as a shape of a cylinder 8 inches in diameter by 24 inches long ( 2 feet).

Using the volume formula,

A) The volume of water is 4^2 * 24  * PI = 384PI cubic inches per second.

TheStranger

Answer:

384π in³

Step-by-step explanation:

Amount of water flows out per second is the volume of the water pipe with 2 feet depth.

First we convert all the units to inches.

Diameter = 8 inches

Therefore, radius = 8 ÷ 2 = 4 inches

Depth of the pipe = 2 feet = 2 x 12 inches = 24 inches

Now that we have all the units in place, we can find the volume flowed out in 1 second by applying the formula, Volume = πr²h

Volume = π4²(24) = 384π in³

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