A Cylinder Has a Height That Is 3 Times as Long

question 184

Essay

A cylinder has a height that is 3 times as long as the radius.
(a)Write the area of its circular base as a function of its radius.
(b)Write the volume of the cylinder as a function of its radius.
(c)Without simplifying,write the ratio of the area of the circular base and the volume of the cylinder as a function of the radius.
(d)Simplify the function you wrote in c.
(e)What kind of function is this?
(f)What is its domain out of context?
(g)What is its domain in the given context?

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