Question

Assuming a soap bubble is a perfect sphere, what is the diameter of a bubble containing 500 cm³ of air, to the nearest tenth of a centimeter? ​

Answer 1

The diameter of the bubble is given as 9.8416

How to get the diameter

we have

Volume = (4/3)πr³

500 = (4/3)πr³

we would have to make r the subject of the formula to proceed

500 = 1.33333 * 3.142857 * r³

500 = 4.1904r³

r³ = 500 / 4.1904

r³ = 119.320

take the cube root of both sides

r =
`\sqrt[3]{119.320}`

r = 4.9208

Diameter = 2 * r

Diameter = 2 * 4.9208

Diameter = 9.8416