The Bouncy Kat toys are manufactured using a layering process. The plastic is added to the ball one layer at a time, with the radius of each ball increasing at a rate of 0.1 inch per second. We have been unable to correctly manage the volume of plastic flowing into the machine. Assuming the machine produces 100 toys at a time, what is the appropriate flow rate of the plastic (in cubic inches per second) when the radius of each toy is 0.5 inch? What should the average flow rate of the plastic be over each 10-second production cycle?With regard to the Kat Krunch treats, they are currently packaged in rectangular boxes measuring 4 inches by 4 inches by 6 inches. Our costs for the packaging material are higher than we would like, so we are considering changing to cylindrical containers. If the cylindrical containers have the same volume as our current boxes, would we be able to save money on packaging by making the switch?