A dispensing system has a central longitudinal axis and includes a shroud adapted to receive a container. The shroud includes a gripping portion adapted to be gripped by a hand of a user. The dispensing system also includes an actuation member adapted to rotate about a rotation point on a rotation axis toward an interior of the shroud in response to a force applied to the actuation member by the user. The actuation member is configured such that a rotation distance is at least about 6 centimeters. The rotation distance is measured in a direction parallel to the central longitudinal axis between a location where the user can apply the force to the actuation member and the rotation point of the actuation member.