Question

Assuming a soap bubble is a perfect sphere, what is the diameter of a bubble containing 500 cm of air, to the nearest tenth of a centimeter?

Answer 1

9.8 cm

Explanation:

Volume of a sphere, V = 4/3 πr³

V = 500cm³

π = 3.14

500 = 4/3 * 3.14 * r³

500 * 3 = 4 * 3.14 * r³

1500 = 12.56r³

r³ = 1500 / 12.56

r³ = 119.42675

r = (119.42675)^1/3

r = 4.9245574

Diameter = 2r

Diameter = 2 * 4.9245574

Diameter = 9.849

= 9.8cm