Imagine a spherical cell with a radius of 10 μm. What is the cell's surface area in μm2? Its volume, in μm3? (Note: For a sphere of radius r, surface area = 4πr2 and volume = 4/3πr3. Remember that the value of π is 3.14.) What is the ratio of surface area to volume for this cell? Now do the same calculations for a second cell, this one with a radius of 20 μm. Compare the surface-to-volume ratios of the two cells. How is this comparison significant to the functioning of cells?

Verified step by step guidance

1. Calculate the surface area of the first cell using the formula for the surface area of a sphere: Surface Area = 4πr^2. Substitute r = 10 μm into the formula.
2. Calculate the volume of the first cell using the formula for the volume of a sphere: Volume = \frac{4}{3}πr^3. Substitute r = 10 μm into the formula.
3. Determine the ratio of surface area to volume for the first cell by dividing the surface area by the volume.
4. Repeat steps 1 to 3 for the second cell with a radius of 20 μm to find its surface area, volume, and the ratio of surface area to volume.
5. Compare the surface-to-volume ratios of the two cells and discuss the significance of these ratios in terms of cell function, such as nutrient uptake and waste removal efficiency.