we need the height of the cone what we do is we know that when height is 10, V=something, so solve for the diameter is at that point and compare it to 24, the full height sorry if confusing
V=(1/3)hpir^2 when h=10 160pi/3=1/3(10)pir^2 ties 3 both sides 160pi=10pir^2 divide by 10pi 16=r^2 sqrt both sides r=4
at that point, the radius is 4 the real radius of the ful is 24/2=12 4/12=1/3 it is 1/3 full
