This source text from Your First Cup: An Introduction to the Java EE Platform is subtle. Let's break it down piece-by-piece for treatment by UML™ Parsing Analysis.
'The container' is taken to be the web container, clear from the context.
The snippet 'manages the component's lifecycle', is taken to refer to a web component as explored in the analysis of:
A web component can be a servlet, a JavaServer Faces Facelets page, or a JSP page.
It is granted a distinct named Association from *Container_web to *Component_web, as well as an Association to a statemachine for *Component_web (taken to represent the states of the lifecycle), and - just for comparison - also to a separate *Lifecycle Class, which in the analysis represents those aspects of the lifecycle that can't be encapsulated by states.
The snippet 'dispatches requests to application components', begs the questions: What kind of requests are meant ? And what exactly are 'application components' ?
The snippet 'and provides interfaces to context data, such as information about the current request' is modelled using a UML Interface provided (under the strictly port-based form of UML™ Parsing Analysis) via a Port, the multiplicity of which is shown using an "element property callout" into a UML Note.
Is the 'current request' the request sent by a remote client ?