Question 59866
A cylinder has a radius of 5 in.  If the volume of the cylinder is {{{250(pi)}}}; in.^3, what is the height of the cylinder?  [Hint: The volume of a cylinder is given by {{{V=(pi)r^2*h}}}.
{{{V=250(pi)}}}
r=5
{{{250(pi)=(pi)(5)^2*h}}}
{{{250(pi)=25(pi)*h}}}
{{{250(pi)/(25(pi))=25(pi)*h/(25(pi))}}}
{{{250*cross((pi))/(25*cross((pi)))=cross(25(pi))*h/cross(25(pi))}}}
{{{250/25=h}}}
{{{10=h}}}
The height is 10 in.
Happy Calculating!!!