Question

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

Answer 1

(Round to two decimal​ places.)

Answer 2

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.

Answer 3

The volume of the Styrofoam collar rounded to two decimal places is approximately 3406.16 cubic inches.