The formula for the volume of a cone is V 5 r2 h. Assume

Chapter 9, Problem 9.5.36

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The formula for the volume of a cone is V 5 r2 h. Assume you are holding a 6-inch-high sugar cone for ice cream. a. Construct a function V(r) for the volume as a function of r. Why dont you need the variable h in this case? Find V(1.5) and explain what have you found (using appropriate units). b. Evaluate V1(25). Describe your results. What are the units attached to the number 25? c. When dealing with abstract functions where f(x) y, we have sometimes used the convention of using x (rather than y) as the input to the inverse function f 1 (x). Explain why it does not make sense to interchange V and r here to find the inverse function. 3

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