Why Batteries split into primary (single use) and secondary (rechargeable) types. Carbon-zinc cells, the classic cheap dry cells, are primary cells: the zinc case is consumed chemically and the reaction cannot be usefully reversed, so trying to recharge them risks leaking or rupture. Nickel-cadmium, lead-acid and lithium-ion are all secondary chemistries designed for repeated charge and discharge cycles.
Watch out Nickel-cadmium tempts people because it is an older technology, but NiCd was the standard rechargeable pack in handheld radios for decades, and lead-acid is the rechargeable battery in every car.
Carbon-zinc is the throwaway flashlight cell. If it powers a car, a handheld or a laptop, it recharges.