The volume of a cylinder is the area of the base * height, which is
\(r^{2} \pi\)\(* h\)
radius is 4, so equation is:
\(\pi 4 ^{2} *h\)
We know that the cylinder holds 500 ml, so set the equation equal to 500:
\(\pi 4 ^{2} *h=500\)
Solve for h to find the answer to be around 9.9 cm.