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 = 3.14 .
R=5in
r=4in
h=23in

We have been given that a collar of Styrofoam is made to insulate a pipe. We are asked to find the volume of the given pipe.

We will use volume of hollow cylinder formula to solve our given problem.

, where,

R = Radius of external cylinder,

r = Radius of internal cylinder.

h = Height of cylinder.

Upon substituting our given values in above formula, we will get:

Therefore, the volume of the pipe is 649.98 cubic inches.  

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: