A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends: The

Question

4 years ago

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A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends: The

figure shows a cylinder of height 16 inches and diameter 6 inches. What is the approximate inside volume of the pipe? (8 points) 113 cubic inches 452 cubic inches 410 cubic inches 254 cubic inches

Mathematics

1 answer:

Elodia [21] · Answer 1 · 2022-01-04T04:54:34+03:00

Answer: 154 cu. in

Step-by-step explanation:

The space you have to measure is a cylinder.

Its height is the same as the height of the pipe, 16 inches.

Its diameter =inner diameter of pipe

= outer diameter of pipe - thickness of walls at each end of diameter

= 6 - 2(1.25)

= 3.5 inches

radius r = 1.75 inches

A cross-section of the cylindrical space is a circle.

area of circle = πr² = π * 1.75² = 9.625

volume = area of circle * height

9.625 * 16

= 154 cu. in.