Answer:
[tex]S(r)=4\pi r^2[/tex].
Step-by-step explanation:
It is given that, the surface area S of a single-celled organism may be found by multiplying 4π times the square of the radius r of the cell.
We need to express S as a function of r.
Let r be the radius of the cell and S(r) be the surface area of single-celled organism when radius is r.
According to the question,
[tex]S(r)=4\pi \times r^2[/tex]
[tex]S(r)=4\pi r^2[/tex]
Therefore, the required function is [tex]S(r)=4\pi r^2[/tex].