Explanation:
Vacuoles are membrane-bound organelles found in the cells of both plants and animals. However, there are certain differences in the size and function of vacuoles in animal cells compared to plant cells.

1. Size of Vacuoles:
- In plant cells, vacuoles are typically very large and can occupy a significant portion of the cell's volume. They can sometimes occupy up to 90% of the plant cell's volume.
- On the other hand, animal cells generally have smaller and fewer vacuoles compared to plant cells. The size of animal cell vacuoles is relatively small and they are not as prominent as in plant cells.

2. Function of Vacuoles:
- In plant cells, vacuoles serve multiple functions including storage of water, nutrients, and waste products, maintaining turgor pressure, and providing structural support to the plant.
- In animal cells, vacuoles also have storage functions, but they are smaller in size and primarily involved in storing and transporting substances such as water, ions, and organic molecules.

3. Other Differences:
- Plant cell vacuoles are surrounded by a membrane called the tonoplast, which regulates the movement of substances in and out of the vacuole. Animal cell vacuoles may have a similar membrane structure but are generally less well-defined.
- Animal cells may have multiple small vacuoles, while plant cells often have one large central vacuole.

Conclusion:
Therefore, the statement that vacuoles are very big and present in animal cells is false. While vacuoles are present in animal cells, they are generally smaller and less prominent compared to plant cells.