Disclosed is a container for a pump dispenser, the container including: a body defining a chamber for storing a product and defining an opening at a first end of the chamber through which the product is dispensable from the chamber; and a protrusion extending from the body into the chamber at a second end of the chamber opposite from the first end of the chamber, the protrusion having a sharp distal end in the chamber. Also disclosed is a refill container including a body enveloping a cavity storing an oral, personal or home care composition, wherein the composition includes water in an amount of less than 98% by weight, based on a total weight of the composition.