A collar of Styrofoam is made to insulate a pipe. Find its volume. The large radius R is to the outer rim. The small radius r is to the edge of the insulation. Use pi almost equals 3.14 .π ≈ 3.14. r ​= 55 in. R ​= 77 in. h ​= 1515 in.

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V=hp(R^2-r^2)

V=1515(3.14)(77^2-55^2) in^3

V≈13814618.4 in^3

The volume of the insulation material is 1381.46 (inches)³, as per the volume of a cylinder.

What is the volume of a cylinder?

The volume of a cylinder is the product of the area of the base of the cylinder and the height of the cylinder.

If the base of the cylinder has a radius of 'A' and the height of the cylinder is 'H', then the volume of the cylinder will be = πA²H.

Given, the radius of the outer rim is 'R' = 77 inches.

The radius of the inner rim is 'R' = 55 inches.

The length of the pipe is 'h' = 1515 inches.

Therefore, the volume of the insulating material is

= Volume of the hollow cylinder

= (πR²h - πr²h)

= πh(R² - r²)

= 3.14 × 15.15 × (7.7² - 5.5²) (inches)³

= 3.14 × 15.15 × (59.29 - 30.25) (inches)³

= 3.14 × 15.15 × 29.04 (inches)³

= 1381.46 (inches)³

Learn more about the volume of a cylinder here: https://brainly.com/question/16227636

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