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a) A cylindrical length of wire has a radius of 4 mm and a length of...

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Basic Math

a) A cylindrical length of wire has a radius of 4 mm and alength of 10 cm. If the length is growing at a rate of 2 cm/sec andthe radius is shrinking at a rate of 1 mm/sec, what is the rate ofchange of the volume in cm3/sec at that point in time. (Be carefulof units)

b) Consider the same length of wire as before (radius of 4 mmand length of 10 cm). This time we are stretching the wire at arate of 2 cm/sec. If the total volume is not changing, what is therate of change of the radius in mm/sec at this point in time.

Answer & Explanation Solved by verified expert
3.6 Ratings (303 Votes)
awe know that volume of a cylindrical wire is given bywherer radius of the wirel length of the wiredifferentiate both the side with respect to t we can write1As given wire has a radius of 4 mm henceAs given wire has a length of 10 cm henceAs given length is growing at a rate of 2    See Answer
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