Question 1028443
The volume of a cone is given by
{{{V = (1/3)(pi)r^2h}}}
Now if h = diameter = 2r, then r = h/2.
So substitute in and get
{{{10000 = (1/3)(pi)(h/2)^2*h = (1/3)(pi)(h^3/4) = (pi)(h^3/12)}}}
so that
{{{120000 = (pi)h^3}}}
{{{h^3 = 120000/(pi) = 38197.2}}}
Now take the cube root and get
h = 33.67