A turtleneck sweater has been washed and is now tumbling in the dryer, along with the rest of the laundry. At a particular moment t0, the neck of the sweater measures 18 inches in circumference and 3 inches in length. However, the sweater is 100% cotton, so that at t0 the heat of the dryer is causing the neck circumference to shrink at a rate of 0.2 in/min, while the twisting and tumbling action is causing the length of the neck to stretch at the rate of 0.1 in/min. How is the volume V of the space inside the neck changing at t = t0? Is V increasing or decreasing at that moment?
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