Question 29160
Volume of a can - oops!... that's cylinder is given by:
{{{V = (pi)r^2h}}} = 121 cubic cm.

a) Write h as a function of r.
{{{h(r) = 121/((pi)r^2)}}}

b) Find the height if the radius is 3 cm
{{{h(3) = 121/((pi)(3)^3)}}} Using 3.14 as an approximation for{{{pi}}}
{{{h(3) = 121/((3.14)(9))}}}
{{{h(3) = 4.3}}}Rounded to the nearest tenth.
The height is 4.3 cm.

c) The graph of the function {{{h(r) = 121/((pi)r^2)}}} is:
{{{graph(300,200,-6,6,-6,100,121/(3.14x^2))}}}