Final answer:
To calculate the surface area-to-volume ratio of the bubble algae cell, you can use the formulas for the surface area and volume of a sphere. The surface area is 25π cm^2 and the volume is 65.42π cm^3. The surface area-to-volume ratio is approximately 0.382 cm^-1.
Step-by-step explanation:
In order to calculate the surface area-to-volume ratio of the bubble algae cell, we first need to find the surface area and volume of the cell. Since the cell is spherical in shape, we can use the formulas for the surface area and volume of a sphere. The surface area of a sphere is given by the formula 4πr^2, where r is the radius of the sphere. The volume of a sphere is given by the formula (4/3)πr^3.
Given that the diameter of the bubble algae cell is 5 cm, the radius is half of the diameter, which is 2.5 cm. Plugging this value into the formulas, we can calculate the surface area and volume:
Surface area = 4π(2.5)^2 = 4π(6.25) ≈ 25π cm^2
Volume = (4/3)π(2.5)^3 = (4/3)π(15.625) ≈ 65.42π cm^3
To find the surface area-to-volume ratio, we divide the surface area by the volume:
Surface area-to-volume ratio = (25π) / (65.42π) ≈ 0.382 cm^-1