4. A solid cylindrical cord of elastic material has length 32 inches and radius 0.5 inch. The cord is being stretched lengthwise at a constant rate of 18 inches per minute. Assuming that the cord maintains a cylindrical shape and constant volume while being stretched, at what rate is the radius of the cord decreasing one minute after the stretching begins?

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A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

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A: The solution is given below in the next step:

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Q: 1.) Water is pouring into a conical vessel 15 cm deep and having a radius of 3.75 cm across the top.…

A: step by step clear explanation is given .Have a look

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Q: 13. A water tank at a filtration plant is built in the shape of an inverted cone with height 5.2 m…

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Q: At what rate is the height of the water rising at the instant the tank is half full?

A: To find the rate at water rising

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A: The given question can be solved as shown in step2.

Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

A:

Q: A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram…

A: Question is solved.

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Q: 5) If the radius of a right circular cylinder is increasing at a rate of 1 inch per minute, and the…

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A: Given: 4) Question is wrong (Some values are missed) 5) dxdt=10 ft/sec, h=100 ft, and l=125 ft

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