Question

PLEASE HELP! (c) Complete the table to represent the relationship between volume and surface area of a spherical structure surrounded by a membrane.

Answer 1

Answer/Explanation:

Recall:

Volume of a sphere = ⁴/3πr³

Surface Area = 4πr²

✔️For radius (r) = 1 mm:

Volume = ⁴/3 × π × 1³ = 4.19 mm³

Surface Area = 4 × π × 1² = 12.57 mm²

Ratio of volume to surface area = 4.19 : 12.57 = 1:3

✔️For radius (r) = 3 mm:

Volume = ⁴/3 × π × 3³ = 113.1 mm³

Surface Area = 4 × π × 3² = 113.1 mm²

Ratio of volume to surface area = 113.1 : 113.1 = 1:1