A spherical bacterial cell has a radius of 3μm . The human egg cell has a radius of 100μm . Which statement correctly indicates the cell that is able to more efficiently exchange materials with the external environment and provides a correct explanation?

The correct statement would be - the bacterial cell due to the largest surface-to-volume ratio.

Explanation:

The surface area to volume ratio plays a very important role in determining the rate of the diffusion enter and exit from the cell body. If the surface-to-volume ratio is lower then the rate of diffusion would be lower to similarly with an increase in the ratio, the rate of diffusion also increases.

So, the bacteria like small organism have a cell which is exposed to a large surface area to the surrounding in comparison of the human egg cell.

Thus, the correct answer would be - the bacterial cell due to the largest surface-to-volume ratio.