Question 53339
The volume of a right circular cylinder (tin can) is given by:
{{{V = (pi)r^2h}}}

a) Write h as a function of r if V = 100 cubic cm:
{{{100 = (pi)r^2h}}} Divide both sides of the equation by {{{(pi)r^2}}}
{{{h(r) = 100/((pi)r^2)}}}

b) Find h if r = 2 cm.
{{{h(2) = 100/(pi)2^2}}} ({{{pi = 3.14}}} Approx.)
{{{h = 100/(3.14)4}}}
{{{h = 25/3.14}}}
{{{h = 7.96}}}
h = 8 cm. (rounded to nearest integer)

c) The graph of the function {{{h(r) = 100/(pi)r^2}}}:
{{{graph(300,200,-20,20,-5,30,100/(3.14*x^2))}}}