Are you trying to describe this bullet"
https://www.midwayusa.com/product/75...-bulk-packaged
If so, their overall length will be very short, about 1.135".
But those bullets are not conical. So maybe you're describing something else.
It sounds more like the Sierra bullet.
https://www.midwayusa.com/product/26...ket-box-of-100
Their OAL would be around 1.155".