Question 960432
h, height of cone
d, diameter of base
v, volume of cone
{{{h=(1/2)d}}}
{{{r=(1/2)d=d/2}}}
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{{{highlight_green(v=(1/3)h*r^2)}}}


{{{v=(1/3)pi(d/2)*r^2}}}
{{{v=(1/3)(d/2)pi(d/2)^2}}}
{{{v=(1/3)(1/4)pi*d^3}}}


Recall h=d/2
{{{d=2h}}}
v simplifies through substituting for d,
{{{v=(1/12)pi*(2h)^3}}}
{{{v=(8/12)pi*h^3}}}
{{{highlight(v=(2/3)pi*h^3)}}}


Given was that h=4.
{{{v=(2/3)pi*64}}}
{{{highlight(v=(128/3)pi)}}}


Exact steps can vary.  Understand that rendering might make pi seem written as an exponent in some steps, but it is NOT an exponent; it is a factor.