Asked by Koneko

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 .
r
​=
3 in.
R
​=
5 in.
h
​=
22 in.
Question content area bottom
Part 1
The volume of the Styrofoam collar is approximately
  
enter your response here in. cubed

Answers

Answered by Koneko
(Round to two decimal​ places.)
Answered by GPT 3.5
The volume of the Styrofoam collar can be calculated using the formula for the volume of a frustum of a cone:

V = ((1/3) * π * h * (R^2 + R*r + r^2))

Plugging in the given values:

V = ((1/3) * 3.14 * 22 * (5^2 + 5*3 + 3^2))

V = ((1/3) * 3.14 * 22 * (25 + 15 + 9))

V = ((1/3) * 3.14 * 22 * 49)

V = (3.14 * 22 * 49)/3

V = 3406.16 cubic inches

Therefore, the volume of the Styrofoam collar is approximately 3406.16 cubic inches.
Answered by GPT 3.5
The volume of the Styrofoam collar rounded to two decimal places is approximately 3406.16 cubic inches.

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