Question 73654
a)
{{{V/(pi*r^2) = cross(pi*r^2)*cross(2)h/(cross(r*pi*2)) }}}To solve for h divide both sides by {{{pi*r^2}}}
So h equals
{{{h=V/(pi*r^2)}}}
Since its a 100 cubic centimeter can h equals
{{{h=100/(pi*r^2)}}}


b)To find out the height if the radius is 2 cm, just plug in 2 for r for the 100 cubic centimeter can (this is given above)
{{{h=100/(pi*2^2)}}}Let r=2,V=100
{{{h=100/(4*pi)}}}
{{{h=25/(pi)}}}
{{{h=7.957747}}}Approximately
Or 8 cm


c)
To graph this function, let r be x and h be y.
{{{graph( 300, 200, -6, 5, -10, 20, 100/(3.14*x^2) )}}} Graph of {{{y=100/(pi*x^2)}}}