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 insulation. Use pie ~ 3.14

Question

R=5in
r=4in
h=25in

Answer 1

To find the volume of the Styrofoam collar, we need to subtract the volumes of two cylinders.

The volume of the larger cylinder with radius R and height h is given by V1 = πR^2h.
The volume of the smaller cylinder with radius r and height h is given by V2 = πr^2h.

Substituting the given values:
V1 = π(5^2)(25) = 625π in^3
V2 = π(4^2)(25) = 400π in^3

Now, we subtract V2 from V1 to find the volume of the Styrofoam collar:
Volume = V1 - V2 = 625π - 400π = 225π in^3

Therefore, the volume of the Styrofoam collar is 225π cubic inches.