As the Radius of a Cell Increases,the Surface Area ______

Question

As the radius of a cell increases,the surface area ______ and the ratio of surface area to volume _______.
A)decreases; increases
B)increases; decreases
C)decreases; remains the same
D)increases; remains the same
E)remains the same; increases

Accepted Answer

As the radius of a cell increases, its surface area increases because surface area is proportional to the square of the radius (4πr^2), but the volume increases even more rapidly since volume is proportional to the cube of the radius (4/3πr^3). This leads to a decrease in the ratio of surface area to volume, as the volume increases faster than the surface area.