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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?

Respuesta :

ogorwyne

The flow rate to produce the balls is 12.5in/s and 1.25in/s

a. The rate flow to produce the balls

The number of toys = 100

The increase in radius = 1inch/sec

5 toys are going to increase by 0.5 radius

The rate flow to produce the balls

5x100 = 500

Rate flow = 500 x 0.5³ / 5

= 12.5inch/s

b. New production

Time = 10 seconds x 5 = 50 seconds

radius = 0.5 inches

Flow rate = 50 * 0.5³/5*10

= 1.25 inches/s

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