You shouldn't be wearing running shoes to Zumba or basketball sneakers for hiking.
There is a lot of technology that goes into sneakers, especially for workouts. Wearing the wrong type of shoes for your specific workout could cause injury.
For example, running and walking sneakers are made for forward motion and have the maximum amount of cushioning and shock absorption. Sports like basketball and tennis require shoes that provide lateral or side-to-side support. Cross-training shoes can be used for lower impact exercises like weight lifting, rowing, elliptical, and Zumba.