Which of the following functions gives the radius, r(v), of a conical artifact that is 20 inches tall as a function of its volume, v, in cubic inches?

By calculus or elementary geometry, we know that the formula for the volume of a cone, given pi (the constant), its height h and its radius r is:

Lets solve this relation for the radius:



Now we have found a general formula that gives us the radius of a cone, given its volume and height. We need only substitute height (20in) and pi=3.14 to get the numerical equation: r=0.2185*

1. y=32. x=-13. n=-40