The lysosome is a small spherical structure (a vesicle) delimited by a lipid membrane located in the cytoplasm of eukaryotic cells. The membrane contains ion channels (proton pumps) that allow the active entry of H + ions, in order to maintain an acid pH (between 3.5 and 5) within the lysosomal vesicle.
A vacuole is a large single structure, of variable shape according to the cells, delimited by a lipid membrane called tonoplast. The vacuole concentrates 80 to 90% of the volume and weight of the plant cell. It contains mostly water, but also organic molecules such as carbohydrates, ions, pigments ...
It is clear that vacuoles and lysosomes have different roles and structures, but they have some similarities, for example, both are in the cytoplasm, and both are lipid membrane "sacs" containing molecules on the inside.