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.
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Part 1
The volume of the Styrofoam collar is approximately
enter your response here in. cubed
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.