ANSWERS: 1

How to work this out. tallest possible cylinder is height 6 radius near zero. shortest cylinder is height near zero, radius 4 So the whole range of possible cylinders from t=0 tallest to t=1 shortest is: height = 6 + (06) t = 6  6t radius = 0 + (40) t = 4t volume = pi r^2 h = pi (16t^2) (6  6t) Differentiate. Solve for t to find possible maxima. Check maxima are maxiuma. substitute to find height and radius.
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