Modeling with functions

Question

The volume of a cylinder, given by the formula V = πr2h, is 539 cubic inches. In the formula, r represents the radius and h represents the height of the cylinder. Which equation represents the value of r in terms of h?

Answer 1

Since the formula for a cylinder is V = πr²h and the volume is given as 539 cubic inches, the equation becomes:

 

539 = πr²h

 

Solving the equation for r gives us:

 

r= sqrt(539/Π*h)