The volume<span> for a </span>cone<span> whose </span>radius<span> is R and whose </span>height<span> is H is V = </span>1/3πR2<span>H</span>
For
(x-h)^2=4p(y-k)
vertex=(h,k)
p=vertical distance from vertex to directix
when p is negative, the directix is above the vertex
when p is positive, the directix is below the vertex
(x-2)^2=1/4(y+3)
(x-2)^2=4(1/16)(y+3)
p=1/16
it's positive so we know directix is below vertex
vertex is (2,-3)
go 1/16 down
-3-1/16=-48/16-1/16=-49/16
directix is y=-49/16 aka y=-3.0625
It's easier I think to take it and go "what can I add together than makes 17, yet multiplies to 28"
although, I don't think this is a perfect square, either
(x+7)(3x-4) = 0
heres the factored form, but I couldn't even begin to say how I got it, all I know is that it works