Question 386510
The volume of the metal remains the same.
For a sphere,
{{{V[s]=(4/3)pi*R^3}}}
{{{V[s]=(4/3)pi*2^3}}}
{{{V[s]=(32/3)pi}}}
For a cone, 
{{{V[c]=(pi/3)r^2*h}}}
{{{V[c]=((5*pi)/3)r^2}}}
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.
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{{{V[c]=V[s]}}}
{{{((5*pi)/3)r^2=(32/3)pi}}}
{{{5r^2=32}}}
{{{r^2=32/5}}}
{{{r=sqrt(32/5)}}}
{{{r=sqrt(160)/5}}}
{{{highlight(r=(4/5)sqrt(10))}}}